13083939191232 has 1260 divisors, whose sum is σ = 49594708963800. Its totient is φ = 3398458871808.

The previous prime is 13083939191227. The next prime is 13083939191243. The reversal of 13083939191232 is 23219193938031.

13083939191232 is a `hidden beast` number, since 1 + 3 + 0 + 8 + 393 + 9 + 19 + 1 + 232 = 666.

13083939191232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2876220894 + ... + 2876225442.

It is an arithmetic number, because the mean of its divisors is an integer number (39360880130).

Almost surely, 2^{13083939191232} is an apocalyptic number.

13083939191232 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 13083939191232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24797354481900).

13083939191232 is an abundant number, since it is smaller than the sum of its proper divisors (36510769772568).

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

13083939191232 is a wasteful number, since it uses less digits than its factorization.

13083939191232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4680 (or 4641 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 13083939191232 in words is "thirteen trillion, eighty-three billion, nine hundred thirty-nine million, one hundred ninety-one thousand, two hundred thirty-two".