130413052122100 has 72 divisors (see below), whose sum is σ = 318682076541696. Its totient is φ = 45893156160000.

The previous prime is 130413052122053. The next prime is 130413052122107. The reversal of 130413052122100 is 1221250314031.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130413052122107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1912180741 + ... + 1912248940.

It is an arithmetic number, because the mean of its divisors is an integer number (4426139951968).

Almost surely, 2^{130413052122100} is an apocalyptic number.

130413052122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130413052122100 is an abundant number, since it is smaller than the sum of its proper divisors (188269024419596).

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

130413052122100 is a wasteful number, since it uses less digits than its factorization.

130413052122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824429737 (or 3824429730 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 130413052122100 in words is "one hundred thirty trillion, four hundred thirteen billion, fifty-two million, one hundred twenty-two thousand, one hundred".