1011020013 has 6 divisors (see below), whose sum is σ = 1460362254. Its totient is φ = 674013336.

The previous prime is 1011020009. The next prime is 1011020027. The reversal of 1011020013 is 3100201101.

It can be written as a sum of positive squares in only one way, i.e., 920636964 + 90383049 = 30342^2 + 9507^2 .

It is not a de Polignac number, because 1011020013 - 2² = 1011020009 is a prime.

It is a super-2 number, since 2×1011020013² = 2044322933373040338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 112335557 = 1011020013 / (1 + 0 + 1 + 1 + 0 + 2 + 0 + 0 + 1 + 3).

It is a junction number, because it is equal to n+sod(n) for n = 1011019977 and 1011020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011020033) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56167770 + ... + 56167787.

It is an arithmetic number, because the mean of its divisors is an integer number (243393709).

Almost surely, 2^1011020013 is an apocalyptic number.

It is an amenable number.

1011020013 is a deficient number, since it is larger than the sum of its proper divisors (449342241).

1011020013 is a wasteful number, since it uses less digits than its factorization.

1011020013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112335563 (or 112335560 counting only the distinct ones).

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

The square root of 1011020013 is about 31796.5408967705. The cubic root of 1011020013 is about 1003.6599262648.

Adding to 1011020013 its reverse (3100201101), we get a palindrome (4111221114).

The spelling of 1011020013 in words is "one billion, eleven million, twenty thousand, thirteen".