137213131 has 16 divisors (see below), whose sum is σ = 156657888. Its totient is φ = 119059200.

The previous prime is 137213113. The next prime is 137213159. The reversal of 137213131 is 131312731.

137213131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137213131 - 2⁹ = 137212619 is a prime.

It is a super-2 number, since 2×137213131² = 37654886637646322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137213431) 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, 18391 + ... + 24751.

It is an arithmetic number, because the mean of its divisors is an integer number (9791118).

Almost surely, 2^137213131 is an apocalyptic number.

137213131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137213131 is a deficient number, since it is larger than the sum of its proper divisors (19444757).

137213131 is a wasteful number, since it uses less digits than its factorization.

137213131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6462.

The product of its digits is 378, while the sum is 22.

The square root of 137213131 is about 11713.8008775973. The cubic root of 137213131 is about 515.7808633724.

Adding to 137213131 its reverse (131312731), we get a palindrome (268525862).

The spelling of 137213131 in words is "one hundred thirty-seven million, two hundred thirteen thousand, one hundred thirty-one".