131135313455400 has 192 divisors, whose sum is σ = 416458135598400. Its totient is φ = 34114574592000.

The previous prime is 131135313455389. The next prime is 131135313455413. The reversal of 131135313455400 is 4554313531131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463790070 + ... + 464072730.

It is an arithmetic number, because the mean of its divisors is an integer number (2169052789575).

Almost surely, 2^{131135313455400} is an apocalyptic number.

131135313455400 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 131135313455400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208229067799200).

131135313455400 is an abundant number, since it is smaller than the sum of its proper divisors (285322822143000).

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

131135313455400 is a wasteful number, since it uses less digits than its factorization.

131135313455400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301580 (or 301571 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 39.

Adding to 131135313455400 its reverse (4554313531131), we get a palindrome (135689626986531).

The spelling of 131135313455400 in words is "one hundred thirty-one trillion, one hundred thirty-five billion, three hundred thirteen million, four hundred fifty-five thousand, four hundred".