10002133311001 has 8 divisors (see below), whose sum is σ = 10948110611144. Its totient is φ = 9081382072320.

The previous prime is 10002133310989. The next prime is 10002133311013. The reversal of 10002133311001 is 10011333120001.

It is an interprime number because it is at equal distance from previous prime (10002133310989) and next prime (10002133311013).

It can be written as a sum of positive squares in 4 ways, for example, as 660032755776 + 9342100555225 = 812424^2 + 3056485^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10002133311001 - 2⁵ = 10002133310969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002133311301) 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, 6306514536 + ... + 6306516121.

It is an arithmetic number, because the mean of its divisors is an integer number (1368513826393).

Almost surely, 2^{10002133311001} is an apocalyptic number.

It is an amenable number.

10002133311001 is a deficient number, since it is larger than the sum of its proper divisors (945977300143).

10002133311001 is a wasteful number, since it uses less digits than its factorization.

10002133311001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12613030731.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10002133311001 its reverse (10011333120001), we get a palindrome (20013466431002).

The spelling of 10002133311001 in words is "ten trillion, two billion, one hundred thirty-three million, three hundred eleven thousand, one".