100313031113131 has 16 divisors (see below), whose sum is σ = 100682855884800. Its totient is φ = 99943886275200.

The previous prime is 100313031113093. The next prime is 100313031113233. The reversal of 100313031113131 is 131311130313001.

It is a cyclic number.

It is not a de Polignac number, because 100313031113131 - 2²⁷ = 100312896895403 is a prime.

It is a super-2 number, since 2×100313031113131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100313031113531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1524272755 + ... + 1524338563.

It is an arithmetic number, because the mean of its divisors is an integer number (6292678492800).

Almost surely, 2^{100313031113131} is an apocalyptic number.

100313031113131 is a deficient number, since it is larger than the sum of its proper divisors (369824771669).

100313031113131 is an equidigital number, since it uses as much as digits as its factorization.

100313031113131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70890.

The product of its (nonzero) digits is 243, while the sum is 22.

Adding to 100313031113131 its reverse (131311130313001), we get a palindrome (231624161426132).

The spelling of 100313031113131 in words is "one hundred trillion, three hundred thirteen billion, thirty-one million, one hundred thirteen thousand, one hundred thirty-one".