13313331132100 has 18 divisors (see below), whose sum is σ = 28889928556874. Its totient is φ = 5325332452800.

The previous prime is 13313331132097. The next prime is 13313331132119. The reversal of 13313331132100 is 123113331331.

13313331132100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 29449305664 + 13283881826436 = 171608^2 + 3644706^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66566655561 + ... + 66566655760.

Almost surely, 2^{13313331132100} is an apocalyptic number.

13313331132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313331132100 is an abundant number, since it is smaller than the sum of its proper divisors (15576597424774).

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

13313331132100 is a wasteful number, since it uses less digits than its factorization.

13313331132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133133311335 (or 133133311328 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 13313331132100 its reverse (123113331331), we get a palindrome (13436444463431).

The spelling of 13313331132100 in words is "thirteen trillion, three hundred thirteen billion, three hundred thirty-one million, one hundred thirty-two thousand, one hundred".