8001213013 has 8 divisors (see below), whose sum is σ = 8764006680. Its totient is φ = 7270878720.

The previous prime is 8001212977. The next prime is 8001213041. The reversal of 8001213013 is 3103121008.

It can be written as a sum of positive squares in 4 ways, for example, as 701561169 + 7299651844 = 26487^2 + 85438^2 .

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 8001213013 - 2¹⁷ = 8001081941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001213043) 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, 8114328 + ... + 8115313.

It is an arithmetic number, because the mean of its divisors is an integer number (1095500835).

Almost surely, 2^8001213013 is an apocalyptic number.

It is an amenable number.

8001213013 is a deficient number, since it is larger than the sum of its proper divisors (762793667).

8001213013 is a wasteful number, since it uses less digits than its factorization.

8001213013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16229687.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 8001213013 is about 89449.4997917820. The cubic root of 8001213013 is about 2000.1010793081.

It can be divided in two parts, 80012 and 13013, that added together give a square (93025 = 305²).

The spelling of 8001213013 in words is "eight billion, one million, two hundred thirteen thousand, thirteen".