131213121220320 has 96 divisors (see below), whose sum is σ = 413407573461792. Its totient is φ = 34982864781312.

The previous prime is 131213121220301. The next prime is 131213121220327. The reversal of 131213121220320 is 23022121312131.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131213121220327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26216017 + ... + 30817296.

It is an arithmetic number, because the mean of its divisors is an integer number (4306328890227).

Almost surely, 2^{131213121220320} is an apocalyptic number.

131213121220320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131213121220320 is an abundant number, since it is smaller than the sum of its proper divisors (282194452241472).

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

131213121220320 is a wasteful number, since it uses less digits than its factorization.

131213121220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57038124 (or 57038116 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 131213121220320 its reverse (23022121312131), we get a palindrome (154235242532451).

The spelling of 131213121220320 in words is "one hundred thirty-one trillion, two hundred thirteen billion, one hundred twenty-one million, two hundred twenty thousand, three hundred twenty".