13101121223010 has 96 divisors (see below), whose sum is σ = 34413444636480. Its totient is φ = 3457863561600.

The previous prime is 13101121222957. The next prime is 13101121223011. The reversal of 13101121223010 is 1032212110131.

13101121223010 is a `hidden beast` number, since 1 + 310 + 1 + 121 + 2 + 230 + 1 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13101121223011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1531401 + ... + 5342979.

It is an arithmetic number, because the mean of its divisors is an integer number (358473381630).

Almost surely, 2^{13101121223010} is an apocalyptic number.

13101121223010 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 13101121223010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17206722318240).

13101121223010 is an abundant number, since it is smaller than the sum of its proper divisors (21312323413470).

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

13101121223010 is a wasteful number, since it uses less digits than its factorization.

13101121223010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811984 (or 3811981 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 13101121223010 its reverse (1032212110131), we get a palindrome (14133333333141).

The spelling of 13101121223010 in words is "thirteen trillion, one hundred one billion, one hundred twenty-one million, two hundred twenty-three thousand, ten".