22113313131000 has 1024 divisors, whose sum is σ = 91663255756800. Its totient is φ = 4308885504000.

The previous prime is 22113313130999. The next prime is 22113313131043. The reversal of 22113313131000 is 13131331122.

It is a happy number.

It is a super-2 number, since 2×22113313131000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 182030280 + ... + 182151720.

It is an arithmetic number, because the mean of its divisors is an integer number (89514898200).

Almost surely, 2^{22113313131000} is an apocalyptic number.

22113313131000 is a gapful number since it is divisible by the number (20) 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 22113313131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45831627878400).

22113313131000 is an abundant number, since it is smaller than the sum of its proper divisors (69549942625800).

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

22113313131000 is a wasteful number, since it uses less digits than its factorization.

22113313131000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121537 (or 121523 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 22113313131000 its reverse (13131331122), we get a palindrome (22126444462122).

The spelling of 22113313131000 in words is "twenty-two trillion, one hundred thirteen billion, three hundred thirteen million, one hundred thirty-one thousand".