10122431031 has 64 divisors (see below), whose sum is σ = 16090214400. Its totient is φ = 6277306464.

The previous prime is 10122431009. The next prime is 10122431041. The reversal of 10122431031 is 13013422101.

10122431031 is a `hidden beast` number, since 101 + 224 + 310 + 31 = 666.

It is not a de Polignac number, because 10122431031 - 2⁵ = 10122430999 is a prime.

It is a super-2 number, since 2×10122431031² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122430995 and 10122431013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122431041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64474005 + ... + 64474161.

It is an arithmetic number, because the mean of its divisors is an integer number (251409600).

Almost surely, 2^10122431031 is an apocalyptic number.

10122431031 is a deficient number, since it is larger than the sum of its proper divisors (5967783369).

10122431031 is an frugal number, since it uses more digits than its factorization.

10122431031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 230 counting only the distinct ones).

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

Adding to 10122431031 its reverse (13013422101), we get a palindrome (23135853132).

The spelling of 10122431031 in words is "ten billion, one hundred twenty-two million, four hundred thirty-one thousand, thirty-one".