1313761137 has 32 divisors (see below), whose sum is σ = 1991982720. Its totient is φ = 763499520.

The previous prime is 1313761123. The next prime is 1313761147. The reversal of 1313761137 is 7311673131.

It is not a de Polignac number, because 1313761137 - 2⁸ = 1313760881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313761098 and 1313761107.

It is not an unprimeable number, because it can be changed into a prime (1313761147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247087 + ... + 252347.

It is an arithmetic number, because the mean of its divisors is an integer number (62249460).

Almost surely, 2^1313761137 is an apocalyptic number.

It is an amenable number.

1313761137 is a deficient number, since it is larger than the sum of its proper divisors (678221583).

1313761137 is a wasteful number, since it uses less digits than its factorization.

1313761137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633.

The product of its digits is 7938, while the sum is 33.

The square root of 1313761137 is about 36245.8430306152. The cubic root of 1313761137 is about 1095.2303504045.

The spelling of 1313761137 in words is "one billion, three hundred thirteen million, seven hundred sixty-one thousand, one hundred thirty-seven".