13149217036032 has 1152 divisors, whose sum is σ = 47388127395840. Its totient is φ = 3134029086720.

The previous prime is 13149217036001. The next prime is 13149217036069. The reversal of 13149217036032 is 23063071294131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6135891153 + ... + 6135893295.

Almost surely, 2^{13149217036032} is an apocalyptic number.

13149217036032 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 13149217036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23694063697920).

13149217036032 is an abundant number, since it is smaller than the sum of its proper divisors (34238910359808).

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

13149217036032 is a wasteful number, since it uses less digits than its factorization.

13149217036032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2369 (or 2355 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 13149217036032 in words is "thirteen trillion, one hundred forty-nine billion, two hundred seventeen million, thirty-six thousand, thirty-two".