13022131313100 has 648 divisors, whose sum is σ = 50140236079920. Its totient is φ = 2585896427520.

The previous prime is 13022131313063. The next prime is 13022131313129. The reversal of 13022131313100 is 131313122031.

It is a happy number.

It is a super-2 number, since 2×13022131313100² (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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 55110006 + ... + 55345794.

Almost surely, 2^{13022131313100} is an apocalyptic number.

13022131313100 is a gapful number since it is divisible by the number (10) 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 13022131313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25070118039960).

13022131313100 is an abundant number, since it is smaller than the sum of its proper divisors (37118104766820).

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

13022131313100 is a wasteful number, since it uses less digits than its factorization.

13022131313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235867 (or 235836 counting only the distinct ones).

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

Adding to 13022131313100 its reverse (131313122031), we get a palindrome (13153444435131).

The spelling of 13022131313100 in words is "thirteen trillion, twenty-two billion, one hundred thirty-one million, three hundred thirteen thousand, one hundred".