10011213313021 has 2 divisors, whose sum is σ = 10011213313022. Its totient is φ = 10011213313020.

The previous prime is 10011213313009. The next prime is 10011213313033. The reversal of 10011213313021 is 12031331211001.

It is a balanced prime because it is at equal distance from previous prime (10011213313009) and next prime (10011213313033).

It can be written as a sum of positive squares in only one way, i.e., 9863556796900 + 147656516121 = 3140630^2 + 384261^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011213313021 - 2⁹ = 10011213312509 is a prime.

It is a super-3 number, since 3×10011213313021³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10011213313021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011213313061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005606656510 + 5005606656511.

It is an arithmetic number, because the mean of its divisors is an integer number (5005606656511).

Almost surely, 2^{10011213313021} is an apocalyptic number.

It is an amenable number.

10011213313021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011213313021 is an equidigital number, since it uses as much as digits as its factorization.

10011213313021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 10011213313021 its reverse (12031331211001), we get a palindrome (22042544524022).

The spelling of 10011213313021 in words is "ten trillion, eleven billion, two hundred thirteen million, three hundred thirteen thousand, twenty-one".