101903013 has 12 divisors (see below), whose sum is σ = 152269260. Its totient is φ = 65592576.

The previous prime is 101902979. The next prime is 101903017. The reversal of 101903013 is 310309101.

It can be written as a sum of positive squares in 2 ways, for example, as 82029249 + 19873764 = 9057^2 + 4458^2 .

It is not a de Polignac number, because 101903013 - 2¹² = 101898917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101903017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 194956 + ... + 195477.

It is an arithmetic number, because the mean of its divisors is an integer number (12689105).

Almost surely, 2^101903013 is an apocalyptic number.

It is an amenable number.

101903013 is a deficient number, since it is larger than the sum of its proper divisors (50366247).

101903013 is a wasteful number, since it uses less digits than its factorization.

101903013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390468 (or 390465 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

The square root of 101903013 is about 10094.7022244344. The cubic root of 101903013 is about 467.0847359564.

It can be divided in two parts, 10190 and 3013, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 101903013 in words is "one hundred one million, nine hundred three thousand, thirteen".