131011202144400 has 180 divisors, whose sum is σ = 431321611743792. Its totient is φ = 33992095265280.

The previous prime is 131011202144371. The next prime is 131011202144447. The reversal of 131011202144400 is 4441202110131.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38231562 + ... + 41517161.

Almost surely, 2^{131011202144400} is an apocalyptic number.

131011202144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011202144400 is an abundant number, since it is smaller than the sum of its proper divisors (300310409599392).

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

131011202144400 is a wasteful number, since it uses less digits than its factorization.

131011202144400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79748818 (or 79748770 counting only the distinct ones).

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

Adding to 131011202144400 its reverse (4441202110131), we get a palindrome (135452404254531).

The spelling of 131011202144400 in words is "one hundred thirty-one trillion, eleven billion, two hundred two million, one hundred forty-four thousand, four hundred".