13031905152 has 384 divisors, whose sum is σ = 43099879680. Its totient is φ = 3466444800.

The previous prime is 13031905141. The next prime is 13031905217. The reversal of 13031905152 is 25150913031.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41903077 + ... + 41903387.

It is an arithmetic number, because the mean of its divisors is an integer number (112239270).

Almost surely, 2^13031905152 is an apocalyptic number.

13031905152 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 13031905152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21549939840).

13031905152 is an abundant number, since it is smaller than the sum of its proper divisors (30067974528).

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

13031905152 is a wasteful number, since it uses less digits than its factorization.

13031905152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 30.

The spelling of 13031905152 in words is "thirteen billion, thirty-one million, nine hundred five thousand, one hundred fifty-two".