10013132212000 has 96 divisors (see below), whose sum is σ = 24604289774064. Its totient is φ = 4004923392000.

The previous prime is 10013132211977. The next prime is 10013132212001. The reversal of 10013132212000 is 21223131001.

It can be written as a sum of positive squares in 8 ways, for example, as 150944682256 + 9862187529744 = 388516^2 + 3140412^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10013132212001) 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, 51795520 + ... + 51988480.

Almost surely, 2^{10013132212000} is an apocalyptic number.

10013132212000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013132212000 is an abundant number, since it is smaller than the sum of its proper divisors (14591157562064).

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

10013132212000 is a wasteful number, since it uses less digits than its factorization.

10013132212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205959 (or 205941 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10013132212000 its reverse (21223131001), we get a palindrome (10034355343001).

The spelling of 10013132212000 in words is "ten trillion, thirteen billion, one hundred thirty-two million, two hundred twelve thousand".