813357103104 has 384 divisors, whose sum is σ = 2965382784000. Its totient is φ = 214510436352.

The previous prime is 813357103103. The next prime is 813357103123. The reversal of 813357103104 is 401301753318.

813357103104 is a `hidden beast` number, since 8 + 1 + 335 + 7 + 1 + 0 + 310 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813357103103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4951117 + ... + 5112755.

It is an arithmetic number, because the mean of its divisors is an integer number (7722351000).

Almost surely, 2^813357103104 is an apocalyptic number.

813357103104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813357103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482691392000).

813357103104 is an abundant number, since it is smaller than the sum of its proper divisors (2152025680896).

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

813357103104 is a wasteful number, since it uses less digits than its factorization.

813357103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161690 (or 161664 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 813357103104 in words is "eight hundred thirteen billion, three hundred fifty-seven million, one hundred three thousand, one hundred four".