13033010101122 has 144 divisors (see below), whose sum is σ = 32339990592000. Its totient is φ = 3785775174720.

The previous prime is 13033010101103. The next prime is 13033010101183. The reversal of 13033010101122 is 22110101033031.

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

It is a junction number, because it is equal to n+sod(n) for n = 13033010101095 and 13033010101104.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8037279 + ... + 9521757.

It is an arithmetic number, because the mean of its divisors is an integer number (224583268000).

Almost surely, 2^{13033010101122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13033010101122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16169995296000).

13033010101122 is an abundant number, since it is smaller than the sum of its proper divisors (19306980490878).

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

13033010101122 is a wasteful number, since it uses less digits than its factorization.

13033010101122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484677 (or 1484663 counting only the distinct ones).

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

Adding to 13033010101122 its reverse (22110101033031), we get a palindrome (35143111134153).

The spelling of 13033010101122 in words is "thirteen trillion, thirty-three billion, ten million, one hundred one thousand, one hundred twenty-two".