13115117400 has 576 divisors, whose sum is σ = 51724189440. Its totient is φ = 2690688000.

The previous prime is 13115117359. The next prime is 13115117401. The reversal of 13115117400 is 471151131.

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 (13115117401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66574102 + ... + 66574298.

It is an arithmetic number, because the mean of its divisors is an integer number (89798940).

Almost surely, 2^13115117400 is an apocalyptic number.

13115117400 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 13115117400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25862094720).

13115117400 is an abundant number, since it is smaller than the sum of its proper divisors (38609072040).

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

13115117400 is a wasteful number, since it uses less digits than its factorization.

13115117400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 24.

Adding to 13115117400 its reverse (471151131), we get a palindrome (13586268531).

The spelling of 13115117400 in words is "thirteen billion, one hundred fifteen million, one hundred seventeen thousand, four hundred".