13032121010100 has 144 divisors (see below), whose sum is σ = 38077135824000. Its totient is φ = 3441059596800.

The previous prime is 13032121010059. The next prime is 13032121010101. The reversal of 13032121010100 is 101012123031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13032121010100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13032121010101) 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, 301222470 + ... + 301265730.

Almost surely, 2^{13032121010100} is an apocalyptic number.

13032121010100 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 13032121010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19038567912000).

13032121010100 is an abundant number, since it is smaller than the sum of its proper divisors (25045014813900).

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

13032121010100 is a wasteful number, since it uses less digits than its factorization.

13032121010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53130 (or 53123 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 13032121010100 its reverse (101012123031), we get a palindrome (13133133133131).

The spelling of 13032121010100 in words is "thirteen trillion, thirty-two billion, one hundred twenty-one million, ten thousand, one hundred".