101033013 has 16 divisors (see below), whose sum is σ = 146692800. Its totient is φ = 61608960.

The previous prime is 101032963. The next prime is 101033039. The reversal of 101033013 is 310330101.

It is a de Polignac number, because none of the positive numbers 2^k-101033013 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101033013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101033063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28908 + ... + 32213.

It is an arithmetic number, because the mean of its divisors is an integer number (9168300).

Almost surely, 2^101033013 is an apocalyptic number.

It is an amenable number.

101033013 is a deficient number, since it is larger than the sum of its proper divisors (45659787).

101033013 is a wasteful number, since it uses less digits than its factorization.

101033013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61172.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 101033013 is about 10051.5179450668. The cubic root of 101033013 is about 465.7516851392.

Adding to 101033013 its reverse (310330101), we get a palindrome (411363114).

The spelling of 101033013 in words is "one hundred one million, thirty-three thousand, thirteen".