1020203131120 has 80 divisors (see below), whose sum is σ = 2395578369600. Its totient is φ = 404037632000.

The previous prime is 1020203131063. The next prime is 1020203131127. The reversal of 1020203131120 is 211313020201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1020203131094 and 1020203131103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020203131127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3569520 + ... + 3844720.

It is an arithmetic number, because the mean of its divisors is an integer number (29944729620).

Almost surely, 2^{1020203131120} is an apocalyptic number.

1020203131120 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 1020203131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197789184800).

1020203131120 is an abundant number, since it is smaller than the sum of its proper divisors (1375375238480).

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

1020203131120 is a wasteful number, since it uses less digits than its factorization.

1020203131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275674 (or 275668 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1020203131120 its reverse (211313020201), we get a palindrome (1231516151321).

The spelling of 1020203131120 in words is "one trillion, twenty billion, two hundred three million, one hundred thirty-one thousand, one hundred twenty".