101313101003100 has 144 divisors (see below), whose sum is σ = 335242445276928. Its totient is φ = 23141119541760.

The previous prime is 101313101003069. The next prime is 101313101003123. The reversal of 101313101003100 is 1300101313101.

It is a super-2 number, since 2×101313101003100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101313101003100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13824034 + ... + 19842633.

Almost surely, 2^{101313101003100} is an apocalyptic number.

101313101003100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313101003100 is an abundant number, since it is smaller than the sum of its proper divisors (233929344273828).

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

101313101003100 is a wasteful number, since it uses less digits than its factorization.

101313101003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33668124 (or 33668117 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 101313101003100 its reverse (1300101313101), we get a palindrome (102613202316201).

The spelling of 101313101003100 in words is "one hundred one trillion, three hundred thirteen billion, one hundred one million, three thousand, one hundred".