37131604101 has 6 divisors (see below), whose sum is σ = 53634539270. Its totient is φ = 24754402728.

The previous prime is 37131604067. The next prime is 37131604117. The reversal of 37131604101 is 10140613173.

37131604101 is a `hidden beast` number, since 37 + 13 + 1 + 604 + 10 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35626940001 + 1504664100 = 188751^2 + 38790^2 .

It is not a de Polignac number, because 37131604101 - 2¹³ = 37131595909 is a prime.

It is a super-2 number, since 2×37131604101² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37131604001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2062866886 + ... + 2062866903.

Almost surely, 2^37131604101 is an apocalyptic number.

It is an amenable number.

37131604101 is a deficient number, since it is larger than the sum of its proper divisors (16502935169).

37131604101 is a wasteful number, since it uses less digits than its factorization.

37131604101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125733795 (or 4125733792 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 37131604101 in words is "thirty-seven billion, one hundred thirty-one million, six hundred four thousand, one hundred one".