13153200000 has 384 divisors, whose sum is σ = 44510588640. Its totient is φ = 3440640000.

The previous prime is 13153199981. The next prime is 13153200019. The reversal of 13153200000 is 235131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13153199981) and next prime (13153200019).

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

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 116399944 + ... + 116400056.

Almost surely, 2^13153200000 is an apocalyptic number.

13153200000 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 13153200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22255294320).

13153200000 is an abundant number, since it is smaller than the sum of its proper divisors (31357388640).

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

13153200000 is an frugal number, since it uses more digits than its factorization.

13153200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 13153200000 its reverse (235131), we get a palindrome (13153435131).

The spelling of 13153200000 in words is "thirteen billion, one hundred fifty-three million, two hundred thousand".