131413000000 has 98 divisors (see below), whose sum is σ = 325964147918. Its totient is φ = 52564800000.

The previous prime is 131412999979. The next prime is 131413000009. The reversal of 131413000000 is 314131.

It can be written as a sum of positive squares in 7 ways, for example, as 126132943104 + 5280056896 = 355152^2 + 72664^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131413000009) by changing a digit.

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 13 ways as a sum of consecutive naturals, for example, 934294 + ... + 1065706.

Almost surely, 2^131413000000 is an apocalyptic number.

131413000000 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 131413000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162982073959).

131413000000 is an abundant number, since it is smaller than the sum of its proper divisors (194551147918).

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

131413000000 is an frugal number, since it uses more digits than its factorization.

131413000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131455 (or 131420 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 131413000000 its reverse (314131), we get a palindrome (131413314131).

The spelling of 131413000000 in words is "one hundred thirty-one billion, four hundred thirteen million", and thus it is an aban number.