1007213301 has 24 divisors (see below), whose sum is σ = 1475004960. Its totient is φ = 662237856.

The previous prime is 1007213299. The next prime is 1007213303. The reversal of 1007213301 is 1033127001.

It is an interprime number because it is at equal distance from previous prime (1007213299) and next prime (1007213303).

It is not a de Polignac number, because 1007213301 - 2¹ = 1007213299 is a prime.

It is a super-2 number, since 2×1007213301² = 2028957267422633202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007213303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220426 + ... + 224948.

It is an arithmetic number, because the mean of its divisors is an integer number (61458540).

Almost surely, 2^1007213301 is an apocalyptic number.

It is an amenable number.

1007213301 is a deficient number, since it is larger than the sum of its proper divisors (467791659).

1007213301 is a wasteful number, since it uses less digits than its factorization.

1007213301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4865 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1007213301 is about 31736.6239697924. The cubic root of 1007213301 is about 1002.3986754225.

The spelling of 1007213301 in words is "one billion, seven million, two hundred thirteen thousand, three hundred one".