32132211413100 has 144 divisors (see below), whose sum is σ = 95496437836800. Its totient is φ = 8335735038720.

The previous prime is 32132211413083. The next prime is 32132211413119. The reversal of 32132211413100 is 131411223123.

It is a super-2 number, since 2×32132211413100² (a number of 28 digits) contains 22 as substring.

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, 73697541 + ... + 74132259.

It is an arithmetic number, because the mean of its divisors is an integer number (663169707200).

Almost surely, 2^{32132211413100} is an apocalyptic number.

32132211413100 is a gapful number since it is divisible by the number (30) 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 32132211413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47748218918400).

32132211413100 is an abundant number, since it is smaller than the sum of its proper divisors (63364226423700).

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

32132211413100 is a wasteful number, since it uses less digits than its factorization.

32132211413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441432 (or 441425 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 32132211413100 its reverse (131411223123), we get a palindrome (32263622636223).

The spelling of 32132211413100 in words is "thirty-two trillion, one hundred thirty-two billion, two hundred eleven million, four hundred thirteen thousand, one hundred".