222113113312131 has 64 divisors (see below), whose sum is σ = 347609213501440. Its totient is φ = 139950670678560.

The previous prime is 222113113312121. The next prime is 222113113312141. The reversal of 222113113312131 is 131213311311222.

222113113312131 is a `hidden beast` number, since 2 + 2 + 2 + 1 + 1 + 311 + 3 + 312 + 1 + 31 = 666.

It is an interprime number because it is at equal distance from previous prime (222113113312121) and next prime (222113113312141).

It is not a de Polignac number, because 222113113312131 - 2²⁷ = 222112979094403 is a prime.

It is a super-2 number, since 2×222113113312131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 222113113312095 and 222113113312104.

It is not an unprimeable number, because it can be changed into a prime (222113113312121) 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, 327287100 + ... + 327965046.

It is an arithmetic number, because the mean of its divisors is an integer number (5431393960960).

Almost surely, 2^{222113113312131} is an apocalyptic number.

222113113312131 is a deficient number, since it is larger than the sum of its proper divisors (125496100189309).

222113113312131 is a wasteful number, since it uses less digits than its factorization.

222113113312131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687133 (or 687127 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 222113113312131 its reverse (131213311311222), we get a palindrome (353326424623353).

The spelling of 222113113312131 in words is "two hundred twenty-two trillion, one hundred thirteen billion, one hundred thirteen million, three hundred twelve thousand, one hundred thirty-one".