1013333131020 has 576 divisors, whose sum is σ = 3454089246720. Its totient is φ = 221140684800.

The previous prime is 1013333131007. The next prime is 1013333131049. The reversal of 1013333131020 is 201313333101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1429242426 + ... + 1429243134.

It is an arithmetic number, because the mean of its divisors is an integer number (5996682720).

Almost surely, 2^{1013333131020} is an apocalyptic number.

1013333131020 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 1013333131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727044623360).

1013333131020 is an abundant number, since it is smaller than the sum of its proper divisors (2440756115700).

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

1013333131020 is a wasteful number, since it uses less digits than its factorization.

1013333131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1013333131020 its reverse (201313333101), we get a palindrome (1214646464121).

The spelling of 1013333131020 in words is "one trillion, thirteen billion, three hundred thirty-three million, one hundred thirty-one thousand, twenty".