312404131113399 has 48 divisors (see below), whose sum is σ = 489819489682432. Its totient is φ = 190722840827904.

The previous prime is 312404131113367. The next prime is 312404131113407. The reversal of 312404131113399 is 993311131404213.

It is a happy number.

312404131113399 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 0 + 413 + 11 + 133 + 99 = 666.

It is not a de Polignac number, because 312404131113399 - 2⁵ = 312404131113367 is a prime.

It is a super-2 number, since 2×312404131113399² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312404131113799) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236684679 + ... + 238000935.

Almost surely, 2^{312404131113399} is an apocalyptic number.

312404131113399 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

312404131113399 is a deficient number, since it is larger than the sum of its proper divisors (177415358569033).

312404131113399 is a wasteful number, since it uses less digits than its factorization.

312404131113399 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332376 (or 1332373 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 312404131113399 in words is "three hundred twelve trillion, four hundred four billion, one hundred thirty-one million, one hundred thirteen thousand, three hundred ninety-nine".