100713561033834 has 80 divisors (see below), whose sum is σ = 261019349857728. Its totient is φ = 28428612726528.

The previous prime is 100713561033809. The next prime is 100713561033893. The reversal of 100713561033834 is 438330165317001.

100713561033834 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 1 + 3 + 561 + 0 + 3 + 3 + 83 + 4 = 666.

It is a super-2 number, since 2×100713561033834² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100713561033834.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 534921927 + ... + 535110170.

Almost surely, 2^{100713561033834} is an apocalyptic number.

100713561033834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100713561033834 is an abundant number, since it is smaller than the sum of its proper divisors (160305788823894).

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

100713561033834 is a wasteful number, since it uses less digits than its factorization.

100713561033834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1070032201 (or 1070032192 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 100713561033834 in words is "one hundred trillion, seven hundred thirteen billion, five hundred sixty-one million, thirty-three thousand, eight hundred thirty-four".