132213010001100 has 108 divisors (see below), whose sum is σ = 444991216567464. Its totient is φ = 30220116568320.

The previous prime is 132213010001047. The next prime is 132213010001101. The reversal of 132213010001100 is 1100010312231.

It is a happy number.

It is a super-3 number, since 3×132213010001100³ (a number of 43 digits) contains 333 as substring.

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 132213010001100.

It is not an unprimeable number, because it can be changed into a prime (132213010001101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4497026457 + ... + 4497055856.

Almost surely, 2^{132213010001100} is an apocalyptic number.

132213010001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132213010001100 is an abundant number, since it is smaller than the sum of its proper divisors (312778206566364).

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

132213010001100 is a wasteful number, since it uses less digits than its factorization.

132213010001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8994082344 (or 8994082330 counting only the distinct ones).

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

Adding to 132213010001100 its reverse (1100010312231), we get a palindrome (133313020313331).

The spelling of 132213010001100 in words is "one hundred thirty-two trillion, two hundred thirteen billion, ten million, one thousand, one hundred".