1010113137 has 24 divisors (see below), whose sum is σ = 1606313280. Its totient is φ = 606566880.

The previous prime is 1010113133. The next prime is 1010113177. The reversal of 1010113137 is 7313110101.

1010113137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010113137 - 2² = 1010113133 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1010113133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36013 + ... + 57594.

It is an arithmetic number, because the mean of its divisors is an integer number (66929720).

Almost surely, 2^1010113137 is an apocalyptic number.

It is an amenable number.

1010113137 is a deficient number, since it is larger than the sum of its proper divisors (596200143).

1010113137 is a wasteful number, since it uses less digits than its factorization.

1010113137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93733 (or 93730 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 1010113137 is about 31782.2770895982. The cubic root of 1010113137 is about 1003.3597451378.

Adding to 1010113137 its reverse (7313110101), we get a palindrome (8323223238).

The spelling of 1010113137 in words is "one billion, ten million, one hundred thirteen thousand, one hundred thirty-seven".