132213010101000 has 256 divisors, whose sum is σ = 434347280640000. Its totient is φ = 33391033747200.

The previous prime is 132213010100987. The next prime is 132213010101013. The reversal of 132213010101000 is 101010312231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132213010100987) and next prime (132213010101013).

It is a super-3 number, since 3×132213010101000³ (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188148301 + ... + 188849699.

It is an arithmetic number, because the mean of its divisors is an integer number (1696669065000).

Almost surely, 2^{132213010101000} is an apocalyptic number.

132213010101000 is a gapful number since it is divisible by the number (10) 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 132213010101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217173640320000).

132213010101000 is an abundant number, since it is smaller than the sum of its proper divisors (302134270539000).

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

132213010101000 is a wasteful number, since it uses less digits than its factorization.

132213010101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704749 (or 704735 counting only the distinct ones).

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

Adding to 132213010101000 its reverse (101010312231), we get a palindrome (132314020413231).

The spelling of 132213010101000 in words is "one hundred thirty-two trillion, two hundred thirteen billion, ten million, one hundred one thousand".