13513412000 has 192 divisors, whose sum is σ = 36428071680. Its totient is φ = 4885888000.

The previous prime is 13513411999. The next prime is 13513412023. The reversal of 13513412000 is 21431531.

It is a super-2 number, since 2×13513412000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8667221 + ... + 8668779.

It is an arithmetic number, because the mean of its divisors is an integer number (189729540).

Almost surely, 2^13513412000 is an apocalyptic number.

13513412000 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 13513412000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18214035840).

13513412000 is an abundant number, since it is smaller than the sum of its proper divisors (22914659680).

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

13513412000 is a wasteful number, since it uses less digits than its factorization.

13513412000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1792 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 13513412000 its reverse (21431531), we get a palindrome (13534843531).

The spelling of 13513412000 in words is "thirteen billion, five hundred thirteen million, four hundred twelve thousand".