813131240004 has 480 divisors, whose sum is σ = 2392792617600. Its totient is φ = 239570472960.

The previous prime is 813131239939. The next prime is 813131240023. The reversal of 813131240004 is 400042131318.

It is a super-2 number, since 2×813131240004² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 813131240004.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 1176745299 + ... + 1176745989.

It is an arithmetic number, because the mean of its divisors is an integer number (4984984620).

Almost surely, 2^813131240004 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 813131240004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196396308800).

813131240004 is an abundant number, since it is smaller than the sum of its proper divisors (1579661377596).

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

813131240004 is a wasteful number, since it uses less digits than its factorization.

813131240004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 813131240004 in words is "eight hundred thirteen billion, one hundred thirty-one million, two hundred forty thousand, four".