131012012031 has 32 divisors (see below), whose sum is σ = 187172052480. Its totient is φ = 81220998144.

The previous prime is 131012012029. The next prime is 131012012041. The reversal of 131012012031 is 130210210131.

It is a happy number.

It is not a de Polignac number, because 131012012031 - 2¹ = 131012012029 is a prime.

It is a super-2 number, since 2×131012012031² (a number of 23 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 131012012031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131012012041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6721606 + ... + 6741068.

It is an arithmetic number, because the mean of its divisors is an integer number (5849126640).

Almost surely, 2^131012012031 is an apocalyptic number.

131012012031 is a deficient number, since it is larger than the sum of its proper divisors (56160040449).

131012012031 is a wasteful number, since it uses less digits than its factorization.

131012012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21055.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 131012012031 its reverse (130210210131), we get a palindrome (261222222162).

The spelling of 131012012031 in words is "one hundred thirty-one billion, twelve million, twelve thousand, thirty-one".