13133100102210 has 384 divisors, whose sum is σ = 41189777441280. Its totient is φ = 2863885516800.

The previous prime is 13133100102191. The next prime is 13133100102247. The reversal of 13133100102210 is 1220100133131.

13133100102210 is a `hidden beast` number, since 1 + 313 + 310 + 0 + 10 + 22 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 498945850 + ... + 498972170.

It is an arithmetic number, because the mean of its divisors is an integer number (107265045420).

Almost surely, 2^{13133100102210} is an apocalyptic number.

13133100102210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133100102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20594888720640).

13133100102210 is an abundant number, since it is smaller than the sum of its proper divisors (28056677339070).

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

13133100102210 is a wasteful number, since it uses less digits than its factorization.

13133100102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27674 (or 27671 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13133100102210 its reverse (1220100133131), we get a palindrome (14353200235341).

The spelling of 13133100102210 in words is "thirteen trillion, one hundred thirty-three billion, one hundred million, one hundred two thousand, two hundred ten".