10713013451790 has 256 divisors, whose sum is σ = 30456373248000. Its totient is φ = 2386560983040.

The previous prime is 10713013451761. The next prime is 10713013451843. The reversal of 10713013451790 is 9715431031701.

It is a super-2 number, since 2×10713013451790² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32102211 + ... + 32434209.

It is an arithmetic number, because the mean of its divisors is an integer number (118970208000).

Almost surely, 2^{10713013451790} is an apocalyptic number.

10713013451790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10713013451790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228186624000).

10713013451790 is an abundant number, since it is smaller than the sum of its proper divisors (19743359796210).

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

10713013451790 is a wasteful number, since it uses less digits than its factorization.

10713013451790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332227.

The product of its (nonzero) digits is 79380, while the sum is 42.

The spelling of 10713013451790 in words is "ten trillion, seven hundred thirteen billion, thirteen million, four hundred fifty-one thousand, seven hundred ninety".