1005310213120 has 44 divisors (see below), whose sum is σ = 2411566425864. Its totient is φ = 402124083200.

The previous prime is 1005310213109. The next prime is 1005310213139. The reversal of 1005310213120 is 213120135001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98169706 + ... + 98179945.

Almost surely, 2^{1005310213120} is an apocalyptic number.

1005310213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005310213120 is an abundant number, since it is smaller than the sum of its proper divisors (1406256212744).

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

1005310213120 is an equidigital number, since it uses as much as digits as its factorization.

1005310213120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196349676 (or 196349658 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 1005310213120 its reverse (213120135001), we get a palindrome (1218430348121).

The spelling of 1005310213120 in words is "one trillion, five billion, three hundred ten million, two hundred thirteen thousand, one hundred twenty".