13101534250336 has 96 divisors (see below), whose sum is σ = 29726497801728. Its totient is φ = 5567883632640.

The previous prime is 13101534250307. The next prime is 13101534250339. The reversal of 13101534250336 is 63305243510131.

It is a super-2 number, since 2×13101534250336² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13101534250295 and 13101534250304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13101534250339) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12957931 + ... + 13932373.

It is an arithmetic number, because the mean of its divisors is an integer number (309651018768).

Almost surely, 2^{13101534250336} is an apocalyptic number.

13101534250336 is a gapful number since it is divisible by the number (16) 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 13101534250336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14863248900864).

13101534250336 is an abundant number, since it is smaller than the sum of its proper divisors (16624963551392).

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

13101534250336 is a wasteful number, since it uses less digits than its factorization.

13101534250336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974964 (or 974956 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 37.

Adding to 13101534250336 its reverse (63305243510131), we get a palindrome (76406777760467).

The spelling of 13101534250336 in words is "thirteen trillion, one hundred one billion, five hundred thirty-four million, two hundred fifty thousand, three hundred thirty-six".