101032131031 has 32 divisors (see below), whose sum is σ = 114154500096. Its totient is φ = 88778592000.

The previous prime is 101032130977. The next prime is 101032131041. The reversal of 101032131031 is 130131230101.

It is a cyclic number.

It is not a de Polignac number, because 101032131031 - 2⁹ = 101032130519 is a prime.

It is a super-2 number, since 2×101032131031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101032130996 and 101032131014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101032131041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13358491 + ... + 13366051.

It is an arithmetic number, because the mean of its divisors is an integer number (3567328128).

Almost surely, 2^101032131031 is an apocalyptic number.

101032131031 is a deficient number, since it is larger than the sum of its proper divisors (13122369065).

101032131031 is a wasteful number, since it uses less digits than its factorization.

101032131031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8143.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101032131031 its reverse (130131230101), we get a palindrome (231163361132).

The spelling of 101032131031 in words is "one hundred one billion, thirty-two million, one hundred thirty-one thousand, thirty-one".