10031002000 has 40 divisors (see below), whose sum is σ = 24254967672. Its totient is φ = 4012400000.

The previous prime is 10031001991. The next prime is 10031002013. The reversal of 10031002000 is 20013001.

It can be written as a sum of positive squares in 4 ways, for example, as 423865744 + 9607136256 = 20588^2 + 98016^2 .

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

It is a super-2 number, since 2×10031002000² (a number of 21 digits) contains 22 as substring.

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, 2505751 + ... + 2509750.

Almost surely, 2^10031002000 is an apocalyptic number.

10031002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031002000 is an abundant number, since it is smaller than the sum of its proper divisors (14223965672).

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

10031002000 is an equidigital number, since it uses as much as digits as its factorization.

10031002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015524 (or 5015508 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 10031002000 its reverse (20013001), we get a palindrome (10051015001).

The spelling of 10031002000 in words is "ten billion, thirty-one million, two thousand".