10131220220031 has 24 divisors (see below), whose sum is σ = 14693849932320. Its totient is φ = 6726535417536.

The previous prime is 10131220220021. The next prime is 10131220220039. The reversal of 10131220220031 is 13002202213101.

10131220220031 is a `hidden beast` number, since 101 + 312 + 2 + 0 + 220 + 0 + 31 = 666.

It is not a de Polignac number, because 10131220220031 - 2⁵ = 10131220219999 is a prime.

It is a super-2 number, since 2×10131220220031² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10131220219986 and 10131220220013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131220220039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5742790 + ... + 7296716.

It is an arithmetic number, because the mean of its divisors is an integer number (612243747180).

Almost surely, 2^{10131220220031} is an apocalyptic number.

10131220220031 is a deficient number, since it is larger than the sum of its proper divisors (4562629712289).

10131220220031 is a wasteful number, since it uses less digits than its factorization.

10131220220031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556895 (or 1556892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10131220220031 its reverse (13002202213101), we get a palindrome (23133422433132).

The spelling of 10131220220031 in words is "ten trillion, one hundred thirty-one billion, two hundred twenty million, two hundred twenty thousand, thirty-one".