20131322313102 has 1024 divisors, whose sum is σ = 58668882370560. Its totient is φ = 4438167552000.

The previous prime is 20131322312971. The next prime is 20131322313121.

20131322313102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 102189453268 + ... + 102189453464.

It is an arithmetic number, because the mean of its divisors is an integer number (57293830440).

Almost surely, 2^{20131322313102} is an apocalyptic number.

20131322313102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131322313102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29334441185280).

20131322313102 is an abundant number, since it is smaller than the sum of its proper divisors (38537560057458).

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

20131322313102 is a wasteful number, since it uses less digits than its factorization.

20131322313102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 2013132 and 2313102, that added together give a palindrome (4326234).

The spelling of 20131322313102 in words is "twenty trillion, one hundred thirty-one billion, three hundred twenty-two million, three hundred thirteen thousand, one hundred two".