10132133020812 has 384 divisors, whose sum is σ = 30913670430720. Its totient is φ = 2838946682880.

The previous prime is 10132133020781. The next prime is 10132133020813. The reversal of 10132133020812 is 21802033123101.

10132133020812 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 330 + 2 + 0 + 8 + 1 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10132133020813) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 113923953 + ... + 114012855.

It is an arithmetic number, because the mean of its divisors is an integer number (80504350080).

Almost surely, 2^{10132133020812} is an apocalyptic number.

10132133020812 is a gapful number since it is divisible by the number (12) 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 10132133020812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456835215360).

10132133020812 is an abundant number, since it is smaller than the sum of its proper divisors (20781537409908).

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

10132133020812 is a wasteful number, since it uses less digits than its factorization.

10132133020812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89090 (or 89082 counting only the distinct ones).

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

Adding to 10132133020812 its reverse (21802033123101), we get a palindrome (31934166143913).

It can be divided in two parts, 101321 and 33020812, that added together give a palindrome (33122133).

The spelling of 10132133020812 in words is "ten trillion, one hundred thirty-two billion, one hundred thirty-three million, twenty thousand, eight hundred twelve".