13033121010 has 128 divisors (see below), whose sum is σ = 38669266944. Its totient is φ = 2737601280.

The previous prime is 13033120957. The next prime is 13033121053. The reversal of 13033121010 is 1012133031.

It is a super-2 number, since 2×13033121010² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609195 + ... + 630225.

It is an arithmetic number, because the mean of its divisors is an integer number (302103648).

Almost surely, 2^13033121010 is an apocalyptic number.

13033121010 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 13033121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19334633472).

13033121010 is an abundant number, since it is smaller than the sum of its proper divisors (25636145934).

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

13033121010 is a wasteful number, since it uses less digits than its factorization.

13033121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21288.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13033121010 its reverse (1012133031), we get a palindrome (14045254041).

The spelling of 13033121010 in words is "thirteen billion, thirty-three million, one hundred twenty-one thousand, ten".