1000331100013 has 8 divisors (see below), whose sum is σ = 1162612416960. Its totient is φ = 842894001600.

The previous prime is 1000331100007. The next prime is 1000331100019. The reversal of 1000331100013 is 3100011330001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1000331100007) and next prime (1000331100019).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-1000331100013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000331099966 and 1000331100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000331100019) 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, 1211054188 + ... + 1211055013.

It is an arithmetic number, because the mean of its divisors is an integer number (145326552120).

Almost surely, 2^{1000331100013} is an apocalyptic number.

It is an amenable number.

1000331100013 is a deficient number, since it is larger than the sum of its proper divisors (162281316947).

1000331100013 is an equidigital number, since it uses as much as digits as its factorization.

1000331100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422109267.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1000331100013 its reverse (3100011330001), we get a palindrome (4100342430014).

The spelling of 1000331100013 in words is "one trillion, three hundred thirty-one million, one hundred thousand, thirteen".