131101012031 has 16 divisors (see below), whose sum is σ = 144894160800. Its totient is φ = 117625305600.

The previous prime is 131101012027. The next prime is 131101012061. The reversal of 131101012031 is 130210101131.

It is a happy number.

It is not a de Polignac number, because 131101012031 - 2² = 131101012027 is a prime.

It is a super-2 number, since 2×131101012031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131101011997 and 131101012015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131101012061) 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, 405875 + ... + 653403.

It is an arithmetic number, because the mean of its divisors is an integer number (9055885050).

Almost surely, 2^131101012031 is an apocalyptic number.

131101012031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131101012031 is a deficient number, since it is larger than the sum of its proper divisors (13793148769).

131101012031 is a wasteful number, since it uses less digits than its factorization.

131101012031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248170.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 131101012031 its reverse (130210101131), we get a palindrome (261311113162).

The spelling of 131101012031 in words is "one hundred thirty-one billion, one hundred one million, twelve thousand, thirty-one".