13113553640148 has 432 divisors, whose sum is σ = 40172762331520. Its totient is φ = 3574691647488.

The previous prime is 13113553640137. The next prime is 13113553640203. The reversal of 13113553640148 is 84104635531131.

13113553640148 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 35 + 536 + 40 + 1 + 48 = 666.

It is a super-2 number, since 2×13113553640148² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 403440465 + ... + 403472967.

Almost surely, 2^{13113553640148} is an apocalyptic number.

13113553640148 is a gapful number since it is divisible by the number (18) 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 13113553640148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20086381165760).

13113553640148 is an abundant number, since it is smaller than the sum of its proper divisors (27059208691372).

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

13113553640148 is a wasteful number, since it uses less digits than its factorization.

13113553640148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32736 (or 32714 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 13113553640148 in words is "thirteen trillion, one hundred thirteen billion, five hundred fifty-three million, six hundred forty thousand, one hundred forty-eight".