1311131723904 has 96 divisors (see below), whose sum is σ = 3774366299340. Its totient is φ = 436876154880.

The previous prime is 1311131723897. The next prime is 1311131723977. The reversal of 1311131723904 is 4093271311131.

1311131723904 is a `hidden beast` number, since 1 + 311 + 1 + 317 + 23 + 9 + 0 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1249369533504 + 61762190400 = 1117752^2 + 248520^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2802274 + ... + 3236510.

Almost surely, 2^{1311131723904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311131723904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887183149670).

1311131723904 is an abundant number, since it is smaller than the sum of its proper divisors (2463234575436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1311131723904 is a wasteful number, since it uses less digits than its factorization.

1311131723904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436878 (or 436863 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 1311131723904 in words is "one trillion, three hundred eleven billion, one hundred thirty-one million, seven hundred twenty-three thousand, nine hundred four".