1013001021 has 12 divisors (see below), whose sum is σ = 1463957820. Its totient is φ = 674995200.

The previous prime is 1013000969. The next prime is 1013001053. The reversal of 1013001021 is 1201003101.

It can be written as a sum of positive squares in 2 ways, for example, as 426876921 + 586124100 = 20661^2 + 24210^2 .

It is not a de Polignac number, because 1013001021 - 2⁶ = 1013000957 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1013000994 and 1013001012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013001061) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8580 + ... + 45821.

It is an arithmetic number, because the mean of its divisors is an integer number (121996485).

Almost surely, 2^1013001021 is an apocalyptic number.

It is an amenable number.

1013001021 is a deficient number, since it is larger than the sum of its proper divisors (450956799).

1013001021 is a wasteful number, since it uses less digits than its factorization.

1013001021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56476 (or 56473 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1013001021 is about 31827.6769651824. The cubic root of 1013001021 is about 1004.3150274238.

Adding to 1013001021 its reverse (1201003101), we get a palindrome (2214004122).

The spelling of 1013001021 in words is "one billion, thirteen million, one thousand, twenty-one".