1013766013 has 8 divisors (see below), whose sum is σ = 1094275448. Its totient is φ = 933617664.

The previous prime is 1013766011. The next prime is 1013766029. The reversal of 1013766013 is 3106673101.

It is the 12999-th star number.

It can be written as a sum of positive squares in 4 ways, for example, as 43007364 + 970758649 = 6558^2 + 31157^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a 7-Lehmer number, since φ(1013766013) divides (1013766013-1)⁷.

It is a cyclic number.

It is not a de Polignac number, because 1013766013 - 2¹ = 1013766011 is a prime.

It is a super-2 number, since 2×1013766013² = 2055443058227832338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013766011) 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, 84420 + ... + 95677.

It is an arithmetic number, because the mean of its divisors is an integer number (136784431).

Almost surely, 2^1013766013 is an apocalyptic number.

1013766013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1013766013 is a deficient number, since it is larger than the sum of its proper divisors (80509435).

1013766013 is a wasteful number, since it uses less digits than its factorization.

1013766013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180543.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 1013766013 is about 31839.6924137153. The cubic root of 1013766013 is about 1004.5677746664.

The spelling of 1013766013 in words is "one billion, thirteen million, seven hundred sixty-six thousand, thirteen".