13101122033010 has 144 divisors (see below), whose sum is σ = 37449165341952. Its totient is φ = 3175341850560.

The previous prime is 13101122033003. The next prime is 13101122033047. The reversal of 13101122033010 is 1033022110131.

13101122033010 is a `hidden beast` number, since 1 + 3 + 101 + 1 + 220 + 330 + 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 71 ways as a sum of consecutive naturals, for example, 51087769 + ... + 51343571.

It is an arithmetic number, because the mean of its divisors is an integer number (260063648208).

Almost surely, 2^{13101122033010} is an apocalyptic number.

13101122033010 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 13101122033010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18724582670976).

13101122033010 is an abundant number, since it is smaller than the sum of its proper divisors (24348043308942).

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

13101122033010 is a wasteful number, since it uses less digits than its factorization.

13101122033010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260541 (or 260527 counting only the distinct ones).

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

Adding to 13101122033010 its reverse (1033022110131), we get a palindrome (14134144143141).

The spelling of 13101122033010 in words is "thirteen trillion, one hundred one billion, one hundred twenty-two million, thirty-three thousand, ten".