100103131313120 has 48 divisors (see below), whose sum is σ = 254685466788480. Its totient is φ = 36961156176384.

The previous prime is 100103131313071. The next prime is 100103131313131. The reversal of 100103131313120 is 21313131301001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100103131313092 and 100103131313101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24063250640 + ... + 24063254799.

It is an arithmetic number, because the mean of its divisors is an integer number (5305947224760).

Almost surely, 2^{100103131313120} is an apocalyptic number.

100103131313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100103131313120 is an abundant number, since it is smaller than the sum of its proper divisors (154582335475360).

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

100103131313120 is a wasteful number, since it uses less digits than its factorization.

100103131313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48126505467 (or 48126505459 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 100103131313120 its reverse (21313131301001), we get a palindrome (121416262614121).

The spelling of 100103131313120 in words is "one hundred trillion, one hundred three billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred twenty".