13101957120 has 504 divisors, whose sum is σ = 51640246224. Its totient is φ = 2818572288.

The previous prime is 13101957083. The next prime is 13101957151. The reversal of 13101957120 is 2175910131.

It is a super-2 number, since 2×13101957120² (a number of 21 digits) contains 22 as substring.

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

It is a zygodrome in base 2.

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, 770703352 + ... + 770703368.

It is an arithmetic number, because the mean of its divisors is an integer number (102460806).

Almost surely, 2^13101957120 is an apocalyptic number.

13101957120 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 13101957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25820123112).

13101957120 is an abundant number, since it is smaller than the sum of its proper divisors (38538289104).

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

13101957120 is an frugal number, since it uses more digits than its factorization.

13101957120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 30.

The spelling of 13101957120 in words is "thirteen billion, one hundred one million, nine hundred fifty-seven thousand, one hundred twenty".