13122525431100 has 72 divisors (see below), whose sum is σ = 37969104540528. Its totient is φ = 3499223590400.

The previous prime is 13122525431087. The next prime is 13122525431153. The reversal of 13122525431100 is 113452522131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8490160 + ... + 9916040.

It is an arithmetic number, because the mean of its divisors is an integer number (527348674174).

Almost surely, 2^{13122525431100} is an apocalyptic number.

13122525431100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122525431100 is an abundant number, since it is smaller than the sum of its proper divisors (24846579109428).

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

13122525431100 is a wasteful number, since it uses less digits than its factorization.

13122525431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1456575 (or 1456568 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 13122525431100 its reverse (113452522131), we get a palindrome (13235977953231).

The spelling of 13122525431100 in words is "thirteen trillion, one hundred twenty-two billion, five hundred twenty-five million, four hundred thirty-one thousand, one hundred".