113322131414001 has 6 divisors (see below), whose sum is σ = 163687523153570. Its totient is φ = 75548087609328.

The previous prime is 113322131413973. The next prime is 113322131414027. The reversal of 113322131414001 is 100414131223311.

113322131414001 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 2 + 213 + 1 + 41 + 400 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 80628906009600 + 32693225404401 = 8979360^2 + 5717799^2 .

It is not a de Polignac number, because 113322131414001 - 2²⁶ = 113322064305137 is a prime.

It is a super-2 number, since 2×113322131414001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (113322131414201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6295673967436 + ... + 6295673967453.

Almost surely, 2^{113322131414001} is an apocalyptic number.

It is an amenable number.

113322131414001 is a deficient number, since it is larger than the sum of its proper divisors (50365391739569).

113322131414001 is a wasteful number, since it uses less digits than its factorization.

113322131414001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12591347934895 (or 12591347934892 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 113322131414001 its reverse (100414131223311), we get a palindrome (213736262637312).

The spelling of 113322131414001 in words is "one hundred thirteen trillion, three hundred twenty-two billion, one hundred thirty-one million, four hundred fourteen thousand, one".