31377077077313 has 16 divisors (see below), whose sum is σ = 34280390963520. Its totient is φ = 28482266534400.

The previous prime is 31377077077309. The next prime is 31377077077319.

31377077077313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31377077077313 - 2² = 31377077077309 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31377077077319) 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 15 ways as a sum of consecutive naturals, for example, 21800333 + ... + 23195013.

It is an arithmetic number, because the mean of its divisors is an integer number (2142524435220).

Almost surely, 2^{31377077077313} is an apocalyptic number.

It is an amenable number.

31377077077313 is a deficient number, since it is larger than the sum of its proper divisors (2903313886207).

31377077077313 is a wasteful number, since it uses less digits than its factorization.

31377077077313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1397728.

The product of its (nonzero) digits is 9529569, while the sum is 56.

The spelling of 31377077077313 in words is "thirty-one trillion, three hundred seventy-seven billion, seventy-seven million, seventy-seven thousand, three hundred thirteen".