77313131 has 12 divisors (see below), whose sum is σ = 90738072. Its totient is φ = 65677248.

The previous prime is 77313121. The next prime is 77313133. The reversal of 77313131 is 13131377.

It is a de Polignac number, because none of the positive numbers 2^k-77313131 is a prime.

It is a super-2 number, since 2×77313131² = 11954640450046322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 77313131.

It is not an unprimeable number, because it can be changed into a prime (77313133) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1445 + ... + 12518.

It is an arithmetic number, because the mean of its divisors is an integer number (7561506).

Almost surely, 2^77313131 is an apocalyptic number.

77313131 is a deficient number, since it is larger than the sum of its proper divisors (13424941).

77313131 is a wasteful number, since it uses less digits than its factorization.

77313131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14090 (or 14083 counting only the distinct ones).

The product of its digits is 1323, while the sum is 26.

The square root of 77313131 is about 8792.7885792847. The cubic root of 77313131 is about 426.0079990710.

The spelling of 77313131 in words is "seventy-seven million, three hundred thirteen thousand, one hundred thirty-one".