13135416000 has 448 divisors, whose sum is σ = 50804941824. Its totient is φ = 2927616000.

The previous prime is 13135415957. The next prime is 13135416023. The reversal of 13135416000 is 61453131.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6887047 + ... + 6888953.

It is an arithmetic number, because the mean of its divisors is an integer number (113403888).

Almost surely, 2^13135416000 is an apocalyptic number.

13135416000 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 13135416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25402470912).

13135416000 is an abundant number, since it is smaller than the sum of its proper divisors (37669525824).

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

13135416000 is a wasteful number, since it uses less digits than its factorization.

13135416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1985 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 13135416000 its reverse (61453131), we get a palindrome (13196869131).

The spelling of 13135416000 in words is "thirteen billion, one hundred thirty-five million, four hundred sixteen thousand".