13271234399136 has 1152 divisors, whose sum is σ = 50085475614720. Its totient is φ = 3333851136000.

The previous prime is 13271234399113. The next prime is 13271234399177. The reversal of 13271234399136 is 63199343217231.

It is a happy number.

13271234399136 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 1 + 234 + 399 + 13 + 6 = 666.

It is a super-2 number, since 2×13271234399136² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2680513461 + ... + 2680518411.

It is an arithmetic number, because the mean of its divisors is an integer number (43476975360).

Almost surely, 2^{13271234399136} is an apocalyptic number.

13271234399136 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 13271234399136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25042737807360).

13271234399136 is an abundant number, since it is smaller than the sum of its proper divisors (36814241215584).

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

13271234399136 is a wasteful number, since it uses less digits than its factorization.

13271234399136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5083 (or 5040 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The spelling of 13271234399136 in words is "thirteen trillion, two hundred seventy-one billion, two hundred thirty-four million, three hundred ninety-nine thousand, one hundred thirty-six".