10021311312001 has 8 divisors (see below), whose sum is σ = 10941234940800. Its totient is φ = 9102870237840.

The previous prime is 10021311311989. The next prime is 10021311312007.

It is a happy number.

10021311312001 is nontrivially palindromic in base 10.

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 10021311312001 - 2⁵ = 10021311311969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10021311312007) 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, 370624521 + ... + 370651558.

It is an arithmetic number, because the mean of its divisors is an integer number (1367654367600).

Almost surely, 2^{10021311312001} is an apocalyptic number.

10021311312001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10021311312001 is a deficient number, since it is larger than the sum of its proper divisors (919923628799).

10021311312001 is a wasteful number, since it uses less digits than its factorization.

10021311312001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741277319.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 1002131 and 1312001, that added together give a palindrome (2314132).

The spelling of 10021311312001 in words is "ten trillion, twenty-one billion, three hundred eleven million, three hundred twelve thousand, one".