13332211000400 has 60 divisors (see below), whose sum is σ = 32390531811900. Its totient is φ = 5272964336640.

The previous prime is 13332211000391. The next prime is 13332211000417. The reversal of 13332211000400 is 400011223331.

It can be written as a sum of positive squares in 6 ways, for example, as 3515745001024 + 9816465999376 = 1875032^2 + 3133124^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187214555 + ... + 187285754.

It is an arithmetic number, because the mean of its divisors is an integer number (539842196865).

Almost surely, 2^{13332211000400} is an apocalyptic number.

13332211000400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13332211000400 is an abundant number, since it is smaller than the sum of its proper divisors (19058320811500).

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

13332211000400 is a wasteful number, since it uses less digits than its factorization.

13332211000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374500416 (or 374500405 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 13332211000400 its reverse (400011223331), we get a palindrome (13732222223731).

The spelling of 13332211000400 in words is "thirteen trillion, three hundred thirty-two billion, two hundred eleven million, four hundred", and thus it is an aban number.