13111202501400 has 192 divisors, whose sum is σ = 40785344570880. Its totient is φ = 3484230169600.

The previous prime is 13111202501399. The next prime is 13111202501401. The reversal of 13111202501400 is 410520211131.

It is an interprime number because it is at equal distance from previous prime (13111202501399) and next prime (13111202501401).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13111202501401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1279511077 + ... + 1279521323.

It is an arithmetic number, because the mean of its divisors is an integer number (212423669640).

Almost surely, 2^{13111202501400} is an apocalyptic number.

13111202501400 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 13111202501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20392672285440).

13111202501400 is an abundant number, since it is smaller than the sum of its proper divisors (27674142069480).

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

13111202501400 is a wasteful number, since it uses less digits than its factorization.

13111202501400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17434 (or 17425 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 13111202501400 its reverse (410520211131), we get a palindrome (13521722712531).

The spelling of 13111202501400 in words is "thirteen trillion, one hundred eleven billion, two hundred two million, five hundred one thousand, four hundred".