13103310000 has 400 divisors, whose sum is σ = 46996456320. Its totient is φ = 3118080000.

The previous prime is 13103309983. The next prime is 13103310023. The reversal of 13103310000 is 1330131.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×13103310000² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19469664 + ... + 19470336.

Almost surely, 2^13103310000 is an apocalyptic number.

13103310000 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 13103310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23498228160).

13103310000 is an abundant number, since it is smaller than the sum of its proper divisors (33893146320).

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

13103310000 is a wasteful number, since it uses less digits than its factorization.

13103310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13103310000 its reverse (1330131), we get a palindrome (13104640131).

The spelling of 13103310000 in words is "thirteen billion, one hundred three million, three hundred ten thousand".