13121403672 has 128 divisors (see below), whose sum is σ = 35698118400. Its totient is φ = 3995177472.

The previous prime is 13121403671. The next prime is 13121403679. The reversal of 13121403672 is 27630412131.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121403671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15274779 + ... + 15275637.

It is an arithmetic number, because the mean of its divisors is an integer number (278891550).

Almost surely, 2^13121403672 is an apocalyptic number.

13121403672 is a gapful number since it is divisible by the number (12) 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 13121403672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849059200).

13121403672 is an abundant number, since it is smaller than the sum of its proper divisors (22576714728).

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

13121403672 is a wasteful number, since it uses less digits than its factorization.

13121403672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 13121403672 in words is "thirteen billion, one hundred twenty-one million, four hundred three thousand, six hundred seventy-two".