1311831203904 has 189 divisors, whose sum is σ = 4072726554429. Its totient is φ = 403530416640.

The previous prime is 1311831203899. The next prime is 1311831203927. The reversal of 1311831203904 is 4093021381131.

The square root of 1311831203904 is 1145352.

It is a perfect power (a square), and thus also a powerful number.

1311831203904 is a `hidden beast` number, since 131 + 18 + 3 + 120 + 390 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 194057870400 + 1117773333504 = 440520^2 + 1057248^2 .

It is a super-2 number, since 2×1311831203904² (a number of 25 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 357347989 + ... + 357351659.

Almost surely, 2^{1311831203904} is an apocalyptic number.

1311831203904 is the 1145352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311831203904

1311831203904 is an abundant number, since it is smaller than the sum of its proper divisors (2760895350525).

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

1311831203904 is an frugal number, since it uses more digits than its factorization.

1311831203904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7386 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 1311831203904 by its sum of digits (36), we get a square (47225923340544 = 6872112²).

1311831203904 divided by its sum of digits (36) gives a square (36439755664 = 190892²).

The spelling of 1311831203904 in words is "one trillion, three hundred eleven billion, eight hundred thirty-one million, two hundred three thousand, nine hundred four".