131031121 has 16 divisors (see below), whose sum is σ = 153065808. Its totient is φ = 111052800.

The previous prime is 131031113. The next prime is 131031127. The reversal of 131031121 is 121130131.

It can be written as a sum of positive squares in 8 ways, for example, as 43046721 + 87984400 = 6561^2 + 9380^2 .

It is a cyclic number.

It is not a de Polignac number, because 131031121 - 2³ = 131031113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131031127) 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, 1831 + ... + 16291.

It is an arithmetic number, because the mean of its divisors is an integer number (9566613).

Almost surely, 2^131031121 is an apocalyptic number.

It is an amenable number.

131031121 is a deficient number, since it is larger than the sum of its proper divisors (22034687).

131031121 is a wasteful number, since it uses less digits than its factorization.

131031121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14532.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 131031121 is about 11446.8825887226. The cubic root of 131031121 is about 507.9155224087.

Adding to 131031121 its reverse (121130131), we get a palindrome (252161252).

The spelling of 131031121 in words is "one hundred thirty-one million, thirty-one thousand, one hundred twenty-one".