13112829121300 has 72 divisors (see below), whose sum is σ = 28746891690552. Its totient is φ = 5191334400000.

The previous prime is 13112829121277. The next prime is 13112829121309. The reversal of 13112829121300 is 312192821131.

It can be written as a sum of positive squares in 12 ways, for example, as 33221623824 + 13079607497476 = 182268^2 + 3616574^2 .

It is a super-2 number, since 2×13112829121300² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13112829121309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28058344 + ... + 28521856.

It is an arithmetic number, because the mean of its divisors is an integer number (399262384591).

Almost surely, 2^{13112829121300} is an apocalyptic number.

13112829121300 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 13112829121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14373445845276).

13112829121300 is an abundant number, since it is smaller than the sum of its proper divisors (15634062569252).

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

13112829121300 is a wasteful number, since it uses less digits than its factorization.

13112829121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466429 (or 466422 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 13112829121300 in words is "thirteen trillion, one hundred twelve billion, eight hundred twenty-nine million, one hundred twenty-one thousand, three hundred".