10131021011031 has 16 divisors (see below), whose sum is σ = 13517562060288. Its totient is φ = 6749248579200.

The previous prime is 10131021011009. The next prime is 10131021011063. The reversal of 10131021011031 is 13011012013101.

It is not a de Polignac number, because 10131021011031 - 2⁶ = 10131021010967 is a prime.

It is a super-2 number, since 2×10131021011031² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10131021011031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131021011231) 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, 25607916 + ... + 26000526.

It is an arithmetic number, because the mean of its divisors is an integer number (844847628768).

Almost surely, 2^{10131021011031} is an apocalyptic number.

10131021011031 is a deficient number, since it is larger than the sum of its proper divisors (3386541049257).

10131021011031 is a wasteful number, since it uses less digits than its factorization.

10131021011031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398662.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 10131021011031 its reverse (13011012013101), we get a palindrome (23142033024132).

The spelling of 10131021011031 in words is "ten trillion, one hundred thirty-one billion, twenty-one million, eleven thousand, thirty-one".