13120540412382 has 192 divisors, whose sum is σ = 33113286984960. Its totient is φ = 3717855977472.

The previous prime is 13120540412381. The next prime is 13120540412383. The reversal of 13120540412382 is 28321404502131.

13120540412382 is a `hidden beast` number, since 1 + 3 + 1 + 20 + 540 + 4 + 12 + 3 + 82 = 666.

It is an interprime number because it is at equal distance from previous prime (13120540412381) and next prime (13120540412383).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13120540412381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1225182844 + ... + 1225193552.

It is an arithmetic number, because the mean of its divisors is an integer number (172465036380).

Almost surely, 2^{13120540412382} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13120540412382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16556643492480).

13120540412382 is an abundant number, since it is smaller than the sum of its proper divisors (19992746572578).

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

13120540412382 is a wasteful number, since it uses less digits than its factorization.

13120540412382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17347 (or 17344 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 13120540412382 in words is "thirteen trillion, one hundred twenty billion, five hundred forty million, four hundred twelve thousand, three hundred eighty-two".