21140141313132 has 144 divisors (see below), whose sum is σ = 55413802080000. Its totient is φ = 6787296649728.

The previous prime is 21140141313127. The next prime is 21140141313149. The reversal of 21140141313132 is 23131314104112.

21140141313132 is a `hidden beast` number, since 2 + 114 + 0 + 1 + 413 + 1 + 3 + 132 = 666.

It is a super-2 number, since 2×21140141313132² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21140141313096 and 21140141313105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2274841078 + ... + 2274850370.

It is an arithmetic number, because the mean of its divisors is an integer number (384818070000).

Almost surely, 2^{21140141313132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21140141313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27706901040000).

21140141313132 is an abundant number, since it is smaller than the sum of its proper divisors (34273660766868).

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

21140141313132 is a wasteful number, since it uses less digits than its factorization.

21140141313132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14360 (or 14355 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 21140141313132 its reverse (23131314104112), we get a palindrome (44271455417244).

The spelling of 21140141313132 in words is "twenty-one trillion, one hundred forty billion, one hundred forty-one million, three hundred thirteen thousand, one hundred thirty-two".