131013212130 has 128 divisors (see below), whose sum is σ = 362562739200. Its totient is φ = 33625089792.

The previous prime is 131013212117. The next prime is 131013212131. The reversal of 131013212130 is 31212310131.

131013212130 is a `hidden beast` number, since 1 + 310 + 1 + 321 + 2 + 1 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131013212131) 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 63 ways as a sum of consecutive naturals, for example, 2455719 + ... + 2508501.

It is an arithmetic number, because the mean of its divisors is an integer number (2832521400).

Almost surely, 2^131013212130 is an apocalyptic number.

131013212130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131013212130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181281369600).

131013212130 is an abundant number, since it is smaller than the sum of its proper divisors (231549527070).

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

131013212130 is a wasteful number, since it uses less digits than its factorization.

131013212130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53145 (or 53139 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131013212130 its reverse (31212310131), we get a palindrome (162225522261).

The spelling of 131013212130 in words is "one hundred thirty-one billion, thirteen million, two hundred twelve thousand, one hundred thirty".