131033664 has 42 divisors (see below), whose sum is σ = 375585990. Its totient is φ = 43677696.

The previous prime is 131033659. The next prime is 131033713. The reversal of 131033664 is 466330131.

It can be written as a sum of positive squares in only one way, i.e., 107993664 + 23040000 = 10392^2 + 4800^2 .

It is a super-2 number, since 2×131033664² = 34339642202529792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 113169 + ... + 114320.

Almost surely, 2^131033664 is an apocalyptic number.

It is an amenable number.

131033664 is an abundant number, since it is smaller than the sum of its proper divisors (244552326).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131033664 is a wasteful number, since it uses less digits than its factorization.

131033664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227507 (or 227494 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 131033664 is about 11446.9936664611. The cubic root of 131033664 is about 507.9188081951.

Adding to 131033664 its reverse (466330131), we get a palindrome (597363795).

The spelling of 131033664 in words is "one hundred thirty-one million, thirty-three thousand, six hundred sixty-four".