13100021010 has 96 divisors (see below), whose sum is σ = 36201260160. Its totient is φ = 3277304064.

The previous prime is 13100021009. The next prime is 13100021017. The reversal of 13100021010 is 1012000131.

It is a super-2 number, since 2×13100021010² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13100020983 and 13100021001.

It is not an unprimeable number, because it can be changed into a prime (13100021017) 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, 138942 + ... + 213318.

It is an arithmetic number, because the mean of its divisors is an integer number (377096460).

Almost surely, 2^13100021010 is an apocalyptic number.

13100021010 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 13100021010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18100630080).

13100021010 is an abundant number, since it is smaller than the sum of its proper divisors (23101239150).

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

13100021010 is a wasteful number, since it uses less digits than its factorization.

13100021010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74512 (or 74509 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 13100021010 its reverse (1012000131), we get a palindrome (14112021141).

The spelling of 13100021010 in words is "thirteen billion, one hundred million, twenty-one thousand, ten".