13030960800 has 576 divisors, whose sum is σ = 51047732736. Its totient is φ = 2844979200.

The previous prime is 13030960771. The next prime is 13030960801. The reversal of 13030960800 is 806903031.

It is a super-2 number, since 2×13030960800² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13030960801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14757159 + ... + 14758041.

It is an arithmetic number, because the mean of its divisors is an integer number (88624536).

Almost surely, 2^13030960800 is an apocalyptic number.

13030960800 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 13030960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25523866368).

13030960800 is an abundant number, since it is smaller than the sum of its proper divisors (38016771936).

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

13030960800 is a wasteful number, since it uses less digits than its factorization.

13030960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 13030960800 in words is "thirteen billion, thirty million, nine hundred sixty thousand, eight hundred".