131210140142400 has 672 divisors, whose sum is σ = 498865043212800. Its totient is φ = 29857899110400.

The previous prime is 131210140142399. The next prime is 131210140142429. The reversal of 131210140142400 is 4241041012131.

It is a happy number.

It is a super-2 number, since 2×131210140142400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108748839 + ... + 109948761.

Almost surely, 2^{131210140142400} is an apocalyptic number.

131210140142400 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 131210140142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249432521606400).

131210140142400 is an abundant number, since it is smaller than the sum of its proper divisors (367654903070400).

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

131210140142400 is a wasteful number, since it uses less digits than its factorization.

131210140142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200087 (or 1200072 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 131210140142400 its reverse (4241041012131), we get a palindrome (135451181154531).

The spelling of 131210140142400 in words is "one hundred thirty-one trillion, two hundred ten billion, one hundred forty million, one hundred forty-two thousand, four hundred".