101313033331320 has 192 divisors, whose sum is σ = 348651585865440. Its totient is φ = 25426450022400.

The previous prime is 101313033331319. The next prime is 101313033331333. The reversal of 101313033331320 is 23133330313101.

101313033331320 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 1 + 3 + 0 + 3 + 3 + 331 + 320 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141203880 + ... + 141919560.

Almost surely, 2^{101313033331320} is an apocalyptic number.

101313033331320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313033331320 is an abundant number, since it is smaller than the sum of its proper divisors (247338552534120).

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

101313033331320 is a wasteful number, since it uses less digits than its factorization.

101313033331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738846 (or 738839 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 27.

Adding to 101313033331320 its reverse (23133330313101), we get a palindrome (124446363644421).

The spelling of 101313033331320 in words is "one hundred one trillion, three hundred thirteen billion, thirty-three million, three hundred thirty-one thousand, three hundred twenty".