2137311306075 has 96 divisors (see below), whose sum is σ = 4259158682112. Its totient is φ = 932909824000.

The previous prime is 2137311306019. The next prime is 2137311306083. The reversal of 2137311306075 is 5706031137312.

It is a happy number.

It is not a de Polignac number, because 2137311306075 - 2³⁵ = 2102951567707 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2990316 + ... + 3635465.

It is an arithmetic number, because the mean of its divisors is an integer number (44366236272).

Almost surely, 2^{2137311306075} is an apocalyptic number.

2137311306075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2137311306075 is a deficient number, since it is larger than the sum of its proper divisors (2121847376037).

2137311306075 is a wasteful number, since it uses less digits than its factorization.

2137311306075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6625845 (or 6625840 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The spelling of 2137311306075 in words is "two trillion, one hundred thirty-seven billion, three hundred eleven million, three hundred six thousand, seventy-five".