8002313137 has 32 divisors (see below), whose sum is σ = 10177664000. Its totient is φ = 6251079744.

The previous prime is 8002313119. The next prime is 8002313147. The reversal of 8002313137 is 7313132008.

It is not a de Polignac number, because 8002313137 - 2⁷ = 8002313009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8002313147) 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, 340903 + ... + 363619.

It is an arithmetic number, because the mean of its divisors is an integer number (318052000).

Almost surely, 2^8002313137 is an apocalyptic number.

It is an amenable number.

8002313137 is a deficient number, since it is larger than the sum of its proper divisors (2175350863).

8002313137 is a wasteful number, since it uses less digits than its factorization.

8002313137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22830 (or 22816 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 8002313137 is about 89455.6489943480. The cubic root of 8002313137 is about 2000.1927428412.

The spelling of 8002313137 in words is "eight billion, two million, three hundred thirteen thousand, one hundred thirty-seven".