13103101011000 has 768 divisors, whose sum is σ = 55306054702080. Its totient is φ = 2513275776000.

The previous prime is 13103101010977. The next prime is 13103101011037. The reversal of 13103101011000 is 11010130131.

It is a super-2 number, since 2×13103101011000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32834667 + ... + 33231333.

It is an arithmetic number, because the mean of its divisors is an integer number (72013092060).

Almost surely, 2^{13103101011000} is an apocalyptic number.

13103101011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13103101011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27653027351040).

13103101011000 is an abundant number, since it is smaller than the sum of its proper divisors (42202953691080).

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

13103101011000 is a wasteful number, since it uses less digits than its factorization.

13103101011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396733 (or 396708 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 13103101011000 its reverse (11010130131), we get a palindrome (13114111141131).

The spelling of 13103101011000 in words is "thirteen trillion, one hundred three billion, one hundred one million, eleven thousand".