2137913001 has 32 divisors (see below), whose sum is σ = 3703941120. Its totient is φ = 1193249232.

The previous prime is 2137912981. The next prime is 2137913059. The reversal of 2137913001 is 1003197312.

It is not a de Polignac number, because 2137913001 - 2⁵ = 2137912969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2137913501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123405 + ... + 139658.

It is an arithmetic number, because the mean of its divisors is an integer number (115748160).

Almost surely, 2^2137913001 is an apocalyptic number.

2137913001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2137913001 is a deficient number, since it is larger than the sum of its proper divisors (1566028119).

2137913001 is a wasteful number, since it uses less digits than its factorization.

2137913001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263122 (or 263116 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 2137913001 is about 46237.5713138136. The cubic root of 2137913001 is about 1288.2396920351.

The spelling of 2137913001 in words is "two billion, one hundred thirty-seven million, nine hundred thirteen thousand, one".