13132434120400 has 180 divisors, whose sum is σ = 36935581358028. Its totient is φ = 4473869137920.

The previous prime is 13132434120373. The next prime is 13132434120409. The reversal of 13132434120400 is 402143423131.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 75572209216 + 13056861911184 = 274904^2 + 3613428^2 .

It is a super-2 number, since 2×13132434120400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13132434120409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 943372 + ... + 5211028.

Almost surely, 2^{13132434120400} is an apocalyptic number.

13132434120400 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 13132434120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18467790679014).

13132434120400 is an abundant number, since it is smaller than the sum of its proper divisors (23803147237628).

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

13132434120400 is a wasteful number, since it uses less digits than its factorization.

13132434120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4267846 (or 4267828 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13132434120400 its reverse (402143423131), we get a palindrome (13534577543531).

The spelling of 13132434120400 in words is "thirteen trillion, one hundred thirty-two billion, four hundred thirty-four million, one hundred twenty thousand, four hundred".