13501356000 has 384 divisors, whose sum is σ = 49929384960. Its totient is φ = 3159296000.

The previous prime is 13501355993. The next prime is 13501356007. The reversal of 13501356000 is 65310531.

It is an interprime number because it is at equal distance from previous prime (13501355993) and next prime (13501356007).

It is a super-2 number, since 2×13501356000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13501356007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3826237 + ... + 3829763.

It is an arithmetic number, because the mean of its divisors is an integer number (130024440).

Almost surely, 2^13501356000 is an apocalyptic number.

13501356000 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 13501356000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24964692480).

13501356000 is an abundant number, since it is smaller than the sum of its proper divisors (36428028960).

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

13501356000 is a wasteful number, since it uses less digits than its factorization.

13501356000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3595 (or 3577 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 13501356000 its reverse (65310531), we get a palindrome (13566666531).

The spelling of 13501356000 in words is "thirteen billion, five hundred one million, three hundred fifty-six thousand".