1005311402000 has 40 divisors (see below), whose sum is σ = 2430842974872. Its totient is φ = 402124560000.

The previous prime is 1005311401981. The next prime is 1005311402009. The reversal of 1005311402000 is 2041135001.

It can be written as a sum of positive squares in 4 ways, for example, as 171939598336 + 833371803664 = 414656^2 + 912892^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1005311402000.

It is not an unprimeable number, because it can be changed into a prime (1005311402009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251325851 + ... + 251329850.

Almost surely, 2^{1005311402000} is an apocalyptic number.

1005311402000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005311402000 is an abundant number, since it is smaller than the sum of its proper divisors (1425531572872).

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

1005311402000 is an equidigital number, since it uses as much as digits as its factorization.

1005311402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502655724 (or 502655708 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

Adding to 1005311402000 its reverse (2041135001), we get a palindrome (1007352537001).

The spelling of 1005311402000 in words is "one trillion, five billion, three hundred eleven million, four hundred two thousand".