313146281340 has 96 divisors (see below), whose sum is σ = 975753817920. Its totient is φ = 83375308800.

The previous prime is 313146281321. The next prime is 313146281429. The reversal of 313146281340 is 43182641313.

313146281340 is a `hidden beast` number, since 3 + 1 + 3 + 14 + 628 + 13 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 313146281295 and 313146281304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106201 + ... + 798480.

It is an arithmetic number, because the mean of its divisors is an integer number (10164102270).

Almost surely, 2^313146281340 is an apocalyptic number.

313146281340 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 313146281340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487876908960).

313146281340 is an abundant number, since it is smaller than the sum of its proper divisors (662607536580).

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

313146281340 is a wasteful number, since it uses less digits than its factorization.

313146281340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905340 (or 905332 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 313146281340 in words is "three hundred thirteen billion, one hundred forty-six million, two hundred eighty-one thousand, three hundred forty".