13133002022100 has 144 divisors (see below), whose sum is σ = 42221416406400. Its totient is φ = 3502030440960.

The previous prime is 13133002022093. The next prime is 13133002022113. The reversal of 13133002022100 is 122020033131.

13133002022100 is a `hidden beast` number, since 1 + 31 + 330 + 0 + 202 + 2 + 100 = 666.

It is a super-2 number, since 2×13133002022100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 147502396 + ... + 147591404.

It is an arithmetic number, because the mean of its divisors is an integer number (293204280600).

Almost surely, 2^{13133002022100} is an apocalyptic number.

13133002022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13133002022100 is an abundant number, since it is smaller than the sum of its proper divisors (29088414384300).

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

13133002022100 is a wasteful number, since it uses less digits than its factorization.

13133002022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143679 (or 143666 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13133002022100 its reverse (122020033131), we get a palindrome (13255022055231).

The spelling of 13133002022100 in words is "thirteen trillion, one hundred thirty-three billion, two million, twenty-two thousand, one hundred".