37138138313 has 4 divisors (see below), whose sum is σ = 37170072528. Its totient is φ = 37106204100.

The previous prime is 37138138231. The next prime is 37138138451. The reversal of 37138138313 is 31383183173.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 31383183173 = 67 ⋅468405719.

It is a cyclic number.

It is not a de Polignac number, because 37138138313 - 2¹⁸ = 37137876169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37138138013) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15965363 + ... + 15967688.

It is an arithmetic number, because the mean of its divisors is an integer number (9292518132).

Almost surely, 2^37138138313 is an apocalyptic number.

It is an amenable number.

37138138313 is a deficient number, since it is larger than the sum of its proper divisors (31934215).

37138138313 is a wasteful number, since it uses less digits than its factorization.

37138138313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31934214.

The product of its digits is 108864, while the sum is 41.

The spelling of 37138138313 in words is "thirty-seven billion, one hundred thirty-eight million, one hundred thirty-eight thousand, three hundred thirteen".