131010411431400 has 48 divisors (see below), whose sum is σ = 406132275439200. Its totient is φ = 34936109714880.

The previous prime is 131010411431369. The next prime is 131010411431407. The reversal of 131010411431400 is 4134114010131.

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

It is not an unprimeable number, because it can be changed into a prime (131010411431407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 109175342260 + ... + 109175343459.

It is an arithmetic number, because the mean of its divisors is an integer number (8461089071650).

Almost surely, 2^{131010411431400} is an apocalyptic number.

131010411431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010411431400 is an abundant number, since it is smaller than the sum of its proper divisors (275121864007800).

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

131010411431400 is a wasteful number, since it uses less digits than its factorization.

131010411431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218350685738 (or 218350685729 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131010411431400 its reverse (4134114010131), we get a palindrome (135144525441531).

The spelling of 131010411431400 in words is "one hundred thirty-one trillion, ten billion, four hundred eleven million, four hundred thirty-one thousand, four hundred".