131201142010000 has 100 divisors (see below), whose sum is σ = 317790034536832. Its totient is φ = 52457500368000.

The previous prime is 131201142009991. The next prime is 131201142010093. The reversal of 131201142010000 is 10241102131.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20001589 + ... + 25738411.

Almost surely, 2^{131201142010000} is an apocalyptic number.

131201142010000 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 131201142010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158895017268416).

131201142010000 is an abundant number, since it is smaller than the sum of its proper divisors (186588892526832).

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

131201142010000 is an equidigital number, since it uses as much as digits as its factorization.

131201142010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739138 (or 5739117 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 131201142010000 its reverse (10241102131), we get a palindrome (131211383112131).

The spelling of 131201142010000 in words is "one hundred thirty-one trillion, two hundred one billion, one hundred forty-two million, ten thousand".