10301202133020 has 144 divisors (see below), whose sum is σ = 32096908185888. Its totient is φ = 2672293317120.

The previous prime is 10301202132979. The next prime is 10301202133063. The reversal of 10301202133020 is 2033120210301.

10301202133020 is a `hidden beast` number, since 1 + 0 + 30 + 120 + 213 + 302 + 0 = 666.

It is a super-2 number, since 2×10301202133020² (a number of 27 digits) contains 22 as substring.

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 = 10301202132984 and 10301202133002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40278750 + ... + 40533690.

Almost surely, 2^{10301202133020} is an apocalyptic number.

10301202133020 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 10301202133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048454092944).

10301202133020 is an abundant number, since it is smaller than the sum of its proper divisors (21795706052868).

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

10301202133020 is a wasteful number, since it uses less digits than its factorization.

10301202133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261060 (or 261055 counting only the distinct ones).

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

Adding to 10301202133020 its reverse (2033120210301), we get a palindrome (12334322343321).

The spelling of 10301202133020 in words is "ten trillion, three hundred one billion, two hundred two million, one hundred thirty-three thousand, twenty".