132213121331310 has 64 divisors (see below), whose sum is σ = 352570359398400. Its totient is φ = 35256628770336.

The previous prime is 132213121331309. The next prime is 132213121331321. The reversal of 132213121331310 is 13133121312231.

132213121331310 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 3 + 12 + 1 + 331 + 310 = 666.

It is a super-3 number, since 3×132213121331310³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48717171 + ... + 51359409.

It is an arithmetic number, because the mean of its divisors is an integer number (5508911865600).

Almost surely, 2^{132213121331310} is an apocalyptic number.

132213121331310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132213121331310 is an abundant number, since it is smaller than the sum of its proper divisors (220357238067090).

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

132213121331310 is a wasteful number, since it uses less digits than its factorization.

132213121331310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827582 (or 2827576 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 132213121331310 its reverse (13133121312231), we get a palindrome (145346242643541).

The spelling of 132213121331310 in words is "one hundred thirty-two trillion, two hundred thirteen billion, one hundred twenty-one million, three hundred thirty-one thousand, three hundred ten".