131011001031 has 16 divisors (see below), whose sum is σ = 177090987744. Its totient is φ = 86136067584.

The previous prime is 131011001021. The next prime is 131011001039. The reversal of 131011001031 is 130100110131.

It is not a de Polignac number, because 131011001031 - 2¹⁷ = 131010869959 is a prime.

It is a super-2 number, since 2×131011001031² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131011000998 and 131011001016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011001039) 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, 3057205 + ... + 3099761.

It is an arithmetic number, because the mean of its divisors is an integer number (11068186734).

Almost surely, 2^131011001031 is an apocalyptic number.

131011001031 is a deficient number, since it is larger than the sum of its proper divisors (46079986713).

131011001031 is a wasteful number, since it uses less digits than its factorization.

131011001031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56690.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 131011001031 its reverse (130100110131), we get a palindrome (261111111162).

The spelling of 131011001031 in words is "one hundred thirty-one billion, eleven million, one thousand, thirty-one".