13121157072340 has 96 divisors (see below), whose sum is σ = 28540914683904. Its totient is φ = 5063038202880.

The previous prime is 13121157072311. The next prime is 13121157072341. The reversal of 13121157072340 is 4327075112131.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 13121157072340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13121157072341) 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, 143837784 + ... + 143928976.

It is an arithmetic number, because the mean of its divisors is an integer number (297301194624).

Almost surely, 2^{13121157072340} is an apocalyptic number.

13121157072340 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 13121157072340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14270457341952).

13121157072340 is an abundant number, since it is smaller than the sum of its proper divisors (15419757611564).

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

13121157072340 is a wasteful number, since it uses less digits than its factorization.

13121157072340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92897 (or 92895 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 13121157072340 in words is "thirteen trillion, one hundred twenty-one billion, one hundred fifty-seven million, seventy-two thousand, three hundred forty".