13151331425100 has 576 divisors, whose sum is σ = 42981519006720. Its totient is φ = 3077068800000.

The previous prime is 13151331425093. The next prime is 13151331425119. The reversal of 13151331425100 is 152413315131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5495749504 + ... + 5495751896.

It is an arithmetic number, because the mean of its divisors is an integer number (74620692720).

Almost surely, 2^{13151331425100} is an apocalyptic number.

13151331425100 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 13151331425100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21490759503360).

13151331425100 is an abundant number, since it is smaller than the sum of its proper divisors (29830187581620).

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

13151331425100 is a wasteful number, since it uses less digits than its factorization.

13151331425100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2882 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 13151331425100 in words is "thirteen trillion, one hundred fifty-one billion, three hundred thirty-one million, four hundred twenty-five thousand, one hundred".