131413402220100 has 576 divisors, whose sum is σ = 526976969981952. Its totient is φ = 24393063168000.

The previous prime is 131413402220099. The next prime is 131413402220239. The reversal of 131413402220100 is 1022204314131.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2251122 + ... + 16367478.

Almost surely, 2^{131413402220100} is an apocalyptic number.

131413402220100 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 131413402220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263488484990976).

131413402220100 is an abundant number, since it is smaller than the sum of its proper divisors (395563567761852).

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

131413402220100 is a wasteful number, since it uses less digits than its factorization.

131413402220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14116436 (or 14116429 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 131413402220100 its reverse (1022204314131), we get a palindrome (132435606534231).

The spelling of 131413402220100 in words is "one hundred thirty-one trillion, four hundred thirteen billion, four hundred two million, two hundred twenty thousand, one hundred".