13152311523300 has 144 divisors (see below), whose sum is σ = 38328691931712. Its totient is φ = 3482025792000.

The previous prime is 13152311523277. The next prime is 13152311523319. The reversal of 13152311523300 is 332511325131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 36201147 + ... + 36562653.

It is an arithmetic number, because the mean of its divisors is an integer number (266171471748).

Almost surely, 2^{13152311523300} is an apocalyptic number.

13152311523300 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 13152311523300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19164345965856).

13152311523300 is an abundant number, since it is smaller than the sum of its proper divisors (25176380408412).

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

13152311523300 is a wasteful number, since it uses less digits than its factorization.

13152311523300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362398 (or 362391 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 13152311523300 its reverse (332511325131), we get a palindrome (13484822848431).

The spelling of 13152311523300 in words is "thirteen trillion, one hundred fifty-two billion, three hundred eleven million, five hundred twenty-three thousand, three hundred".