13100010000 has 800 divisors, whose sum is σ = 54220243968. Its totient is φ = 2645760000.

The previous prime is 13100009981. The next prime is 13100010013. The reversal of 13100010000 is 1000131.

It is a super-2 number, since 2×13100010000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 122429947 + ... + 122430053.

Almost surely, 2^13100010000 is an apocalyptic number.

13100010000 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 13100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27110121984).

13100010000 is an abundant number, since it is smaller than the sum of its proper divisors (41120233968).

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

13100010000 is a wasteful number, since it uses less digits than its factorization.

13100010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 13100010000 its reverse (1000131), we get a palindrome (13101010131).

The spelling of 13100010000 in words is "thirteen billion, one hundred million, ten thousand".