13131012230100 has 180 divisors, whose sum is σ = 42572082183708. Its totient is φ = 3501066240000.

The previous prime is 13131012230087. The next prime is 13131012230101. The reversal of 13131012230100 is 103221013131.

13131012230100 is a `hidden beast` number, since 1 + 31 + 310 + 1 + 22 + 301 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1671880032144 + 11459132197956 = 1293012^2 + 3385134^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-5 number, since 5×13131012230100⁵ (a number of 67 digits) contains 55555 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13131012230101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 54157140 + ... + 54399060.

Almost surely, 2^{13131012230100} is an apocalyptic number.

13131012230100 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 13131012230100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21286041091854).

13131012230100 is an abundant number, since it is smaller than the sum of its proper divisors (29441069953608).

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

13131012230100 is a wasteful number, since it uses less digits than its factorization.

13131012230100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248648 (or 248632 counting only the distinct ones).

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

Adding to 13131012230100 its reverse (103221013131), we get a palindrome (13234233243231).

The spelling of 13131012230100 in words is "thirteen trillion, one hundred thirty-one billion, twelve million, two hundred thirty thousand, one hundred".