1031030002000 has 40 divisors (see below), whose sum is σ = 2493030549672. Its totient is φ = 412412000000.

The previous prime is 1031030001997. The next prime is 1031030002021. The reversal of 1031030002000 is 2000301301.

It can be written as a sum of positive squares in 4 ways, for example, as 25189498944 + 1005840503056 = 158712^2 + 1002916^2 .

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

It is a super-3 number, since 3×1031030002000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 257755501 + ... + 257759500.

Almost surely, 2^{1031030002000} is an apocalyptic number.

1031030002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1031030002000 is an abundant number, since it is smaller than the sum of its proper divisors (1462000547672).

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

1031030002000 is an equidigital number, since it uses as much as digits as its factorization.

1031030002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515515024 (or 515515008 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 1031030002000 its reverse (2000301301), we get a palindrome (1033030303301).

The spelling of 1031030002000 in words is "one trillion, thirty-one billion, thirty million, two thousand".