135314121100 has 72 divisors (see below), whose sum is σ = 295121888768. Its totient is φ = 53851521600.

The previous prime is 135314121031. The next prime is 135314121113. The reversal of 135314121100 is 1121413531.

It is a happy number.

It is a super-2 number, since 2×135314121100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22300267 + ... + 22306333.

Almost surely, 2^135314121100 is an apocalyptic number.

135314121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135314121100 is an abundant number, since it is smaller than the sum of its proper divisors (159807767668).

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

135314121100 is a wasteful number, since it uses less digits than its factorization.

135314121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7175 (or 7168 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 22.

Adding to 135314121100 its reverse (1121413531), we get a palindrome (136435534631).

The spelling of 135314121100 in words is "one hundred thirty-five billion, three hundred fourteen million, one hundred twenty-one thousand, one hundred".