113253402311541 has 64 divisors (see below), whose sum is σ = 175373155860480. Its totient is φ = 72097724160000.

The previous prime is 113253402311503. The next prime is 113253402311579. The reversal of 113253402311541 is 145113204352311.

113253402311541 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 53 + 40 + 23 + 1 + 1 + 541 = 666.

It is an interprime number because it is at equal distance from previous prime (113253402311503) and next prime (113253402311579).

It is not a de Polignac number, because 113253402311541 - 2⁴² = 108855355800437 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113253402311496 and 113253402311505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113253402311341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4597990296 + ... + 4598014926.

It is an arithmetic number, because the mean of its divisors is an integer number (2740205560320).

Almost surely, 2^{113253402311541} is an apocalyptic number.

It is an amenable number.

113253402311541 is a deficient number, since it is larger than the sum of its proper divisors (62119753548939).

113253402311541 is a wasteful number, since it uses less digits than its factorization.

113253402311541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36855 (or 36849 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 113253402311541 its reverse (145113204352311), we get a palindrome (258366606663852).

The spelling of 113253402311541 in words is "one hundred thirteen trillion, two hundred fifty-three billion, four hundred two million, three hundred eleven thousand, five hundred forty-one".