313423141010100 has 288 divisors, whose sum is σ = 1010891498803200. Its totient is φ = 74323109107200.

The previous prime is 313423141010099. The next prime is 313423141010101. The reversal of 313423141010100 is 1010141324313.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (313423141010099) and next prime (313423141010101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313423141010101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 276909121 + ... + 278038679.

It is an arithmetic number, because the mean of its divisors is an integer number (3510039926400).

Almost surely, 2^{313423141010100} is an apocalyptic number.

313423141010100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313423141010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505445749401600).

313423141010100 is an abundant number, since it is smaller than the sum of its proper divisors (697468357793100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

313423141010100 is a wasteful number, since it uses less digits than its factorization.

313423141010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131423 (or 1131416 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 313423141010100 its reverse (1010141324313), we get a palindrome (314433282334413).

The spelling of 313423141010100 in words is "three hundred thirteen trillion, four hundred twenty-three billion, one hundred forty-one million, ten thousand, one hundred".