1020133311220 has 24 divisors (see below), whose sum is σ = 2164365318024. Its totient is φ = 403846588416.

The previous prime is 1020133311217. The next prime is 1020133311259. The reversal of 1020133311220 is 221133310201.

1020133311220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 177431343076 + 842701968144 = 421226^2 + 917988^2 .

It is a super-6 number, since 6×1020133311220⁶ (a number of 73 digits) contains 666666 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 262919017 + ... + 262922896.

It is an arithmetic number, because the mean of its divisors is an integer number (90181888251).

Almost surely, 2^{1020133311220} is an apocalyptic number.

1020133311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020133311220 is an abundant number, since it is smaller than the sum of its proper divisors (1144232006804).

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

1020133311220 is a wasteful number, since it uses less digits than its factorization.

1020133311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525842019 (or 525842017 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1020133311220 its reverse (221133310201), we get a palindrome (1241266621421).

The spelling of 1020133311220 in words is "one trillion, twenty billion, one hundred thirty-three million, three hundred eleven thousand, two hundred twenty".