131013020232100 has 144 divisors (see below), whose sum is σ = 297128182579200. Its totient is φ = 50086220112000.

The previous prime is 131013020232091. The next prime is 131013020232121. The reversal of 131013020232100 is 1232020310131.

It is a super-2 number, since 2×131013020232100² (a number of 29 digits) contains 22 as substring.

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, 81505971 + ... + 83097829.

It is an arithmetic number, because the mean of its divisors is an integer number (2063390156800).

Almost surely, 2^{131013020232100} is an apocalyptic number.

131013020232100 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 131013020232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148564091289600).

131013020232100 is an abundant number, since it is smaller than the sum of its proper divisors (166115162347100).

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

131013020232100 is a wasteful number, since it uses less digits than its factorization.

131013020232100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592234 (or 1592227 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131013020232100 its reverse (1232020310131), we get a palindrome (132245040542231).

The spelling of 131013020232100 in words is "one hundred thirty-one trillion, thirteen billion, twenty million, two hundred thirty-two thousand, one hundred".