113355553311 has 324 divisors, whose sum is σ = 233531147304. Its totient is φ = 52363584000.

The previous prime is 113355553309. The next prime is 113355553331.

113355553311 is a `hidden beast` number, since 1 + 1 + 335 + 5 + 5 + 5 + 3 + 311 = 666.

113355553311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113355553311 - 2¹ = 113355553309 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113355553331) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1122332161 + ... + 1122332261.

It is an arithmetic number, because the mean of its divisors is an integer number (720775146).

Almost surely, 2^113355553311 is an apocalyptic number.

113355553311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113355553311 is an abundant number, since it is smaller than the sum of its proper divisors (120175593993).

113355553311 is a wasteful number, since it uses less digits than its factorization.

113355553311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 172 counting only the distinct ones).

The product of its digits is 50625, while the sum is 36.

It can be divided in two parts, 113355 and 553311, that added together give a palindrome (666666).

The spelling of 113355553311 in words is "one hundred thirteen billion, three hundred fifty-five million, five hundred fifty-three thousand, three hundred eleven".