101313310010100 has 72 divisors (see below), whose sum is σ = 293134254956928. Its totient is φ = 27016783315200.

The previous prime is 101313310010039. The next prime is 101313310010183. The reversal of 101313310010100 is 1010013313101.

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 101313310010100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120221205 + ... + 121060995.

It is an arithmetic number, because the mean of its divisors is an integer number (4071309096624).

Almost surely, 2^{101313310010100} is an apocalyptic number.

101313310010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101313310010100 is an abundant number, since it is smaller than the sum of its proper divisors (191820944946828).

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

101313310010100 is a wasteful number, since it uses less digits than its factorization.

101313310010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241945 (or 1241938 counting only the distinct ones).

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

Adding to 101313310010100 its reverse (1010013313101), we get a palindrome (102323323323201).

The spelling of 101313310010100 in words is "one hundred one trillion, three hundred thirteen billion, three hundred ten million, ten thousand, one hundred".