10713382122240 has 432 divisors, whose sum is σ = 44592110035200. Its totient is φ = 2319889932288.

The previous prime is 10713382122227. The next prime is 10713382122251. The reversal of 10713382122240 is 4222128331701.

10713382122240 is a `hidden beast` number, since 1 + 0 + 7 + 13 + 382 + 1 + 22 + 240 = 666.

It is a super-2 number, since 2×10713382122240² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10713382122195 and 10713382122204.

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 47 ways as a sum of consecutive naturals, for example, 1964010 + ... + 5028329.

Almost surely, 2^{10713382122240} is an apocalyptic number.

10713382122240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10713382122240 is an abundant number, since it is smaller than the sum of its proper divisors (33878727912960).

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

10713382122240 is a wasteful number, since it uses less digits than its factorization.

10713382122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6992392 (or 6992375 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10713382122240 in words is "ten trillion, seven hundred thirteen billion, three hundred eighty-two million, one hundred twenty-two thousand, two hundred forty".