133131010021020 has 288 divisors, whose sum is σ = 448442903301120. Its totient is φ = 31700211840000.

The previous prime is 133131010020991. The next prime is 133131010021049. The reversal of 133131010021020 is 20120010131331.

133131010021020 is a `hidden beast` number, since 1 + 331 + 3 + 1 + 0 + 100 + 210 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (133131010020991) and next prime (133131010021049).

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 = 133131010020984 and 133131010021002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24107625 + ... + 29110815.

It is an arithmetic number, because the mean of its divisors is an integer number (1557093414240).

Almost surely, 2^{133131010021020} is an apocalyptic number.

133131010021020 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 133131010021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224221451650560).

133131010021020 is an abundant number, since it is smaller than the sum of its proper divisors (315311893280100).

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

133131010021020 is a wasteful number, since it uses less digits than its factorization.

133131010021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5003457 (or 5003452 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 133131010021020 its reverse (20120010131331), we get a palindrome (153251020152351).

The spelling of 133131010021020 in words is "one hundred thirty-three trillion, one hundred thirty-one billion, ten million, twenty-one thousand, twenty".