13303670400 has 144 divisors (see below), whose sum is σ = 47470647510. Its totient is φ = 3547637760.

The previous prime is 13303670357. The next prime is 13303670411. The reversal of 13303670400 is 407630331.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8595514944 + 4708155456 = 92712^2 + 68616^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13303670400² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 202167 + ... + 259766.

Almost surely, 2^13303670400 is an apocalyptic number.

13303670400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13303670400 is an abundant number, since it is smaller than the sum of its proper divisors (34166977110).

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

13303670400 is a wasteful number, since it uses less digits than its factorization.

13303670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461963 (or 461943 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 27.

The spelling of 13303670400 in words is "thirteen billion, three hundred three million, six hundred seventy thousand, four hundred".