102133132020 has 72 divisors (see below), whose sum is σ = 310073157576. Its totient is φ = 27211825152.

The previous prime is 102133132001. The next prime is 102133132021. The reversal of 102133132020 is 20231331201.

102133132020 is a `hidden beast` number, since 10 + 2 + 1 + 331 + 320 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39659129316 + 62474002704 = 199146^2 + 249948^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102133131984 and 102133132002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133132021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38517 + ... + 453596.

It is an arithmetic number, because the mean of its divisors is an integer number (4306571633).

Almost surely, 2^102133132020 is an apocalyptic number.

102133132020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102133132020 is an abundant number, since it is smaller than the sum of its proper divisors (207940025556).

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

102133132020 is a wasteful number, since it uses less digits than its factorization.

102133132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493281 (or 493276 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102133132020 its reverse (20231331201), we get a palindrome (122364463221).

The spelling of 102133132020 in words is "one hundred two billion, one hundred thirty-three million, one hundred thirty-two thousand, twenty".