103031033010013 has 16 divisors (see below), whose sum is σ = 110888942568624. Its totient is φ = 95373073474560.

The previous prime is 103031033010011. The next prime is 103031033010041. The reversal of 103031033010013 is 310010330130301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1559196747684 + 101471836262329 = 1248678^2 + 10073323^2 .

It is a cyclic number.

It is not a de Polignac number, because 103031033010013 - 2¹ = 103031033010011 is a prime.

It is a super-2 number, since 2×103031033010013² (a number of 29 digits) 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 (103031033010011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9011331 + ... + 16948927.

It is an arithmetic number, because the mean of its divisors is an integer number (6930558910539).

Almost surely, 2^{103031033010013} is an apocalyptic number.

It is an amenable number.

103031033010013 is a deficient number, since it is larger than the sum of its proper divisors (7857909558611).

103031033010013 is a wasteful number, since it uses less digits than its factorization.

103031033010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7950192.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 103031033010013 its reverse (310010330130301), we get a palindrome (413041363140314).

The spelling of 103031033010013 in words is "one hundred three trillion, thirty-one billion, thirty-three million, ten thousand, thirteen".