133310021010120 has 320 divisors, whose sum is σ = 458879533136640. Its totient is φ = 34701621696000.

The previous prime is 133310021010097. The next prime is 133310021010143. The reversal of 133310021010120 is 21010120013331.

133310021010120 is a `hidden beast` number, since 1 + 3 + 331 + 0 + 0 + 210 + 1 + 0 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (133310021010097) and next prime (133310021010143).

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 = 133310021010093 and 133310021010102.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20365189 + ... + 26102891.

It is an arithmetic number, because the mean of its divisors is an integer number (1433998541052).

Almost surely, 2^{133310021010120} is an apocalyptic number.

133310021010120 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 133310021010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229439766568320).

133310021010120 is an abundant number, since it is smaller than the sum of its proper divisors (325569512126520).

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

133310021010120 is a wasteful number, since it uses less digits than its factorization.

133310021010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737898 (or 5737885 counting only the distinct ones).

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

Adding to 133310021010120 its reverse (21010120013331), we get a palindrome (154320141023451).

The spelling of 133310021010120 in words is "one hundred thirty-three trillion, three hundred ten billion, twenty-one million, ten thousand, one hundred twenty".