103133331000993 has 16 divisors (see below), whose sum is σ = 137542295384640. Its totient is φ = 68739961459776.

The previous prime is 103133331000991. The next prime is 103133331001003. The reversal of 103133331000993 is 399000133331301.

It is a happy number.

103133331000993 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 103133331000993 - 2¹ = 103133331000991 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103133331000991) 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, 399629643 + ... + 399887631.

It is an arithmetic number, because the mean of its divisors is an integer number (8596393461540).

Almost surely, 2^{103133331000993} is an apocalyptic number.

It is an amenable number.

103133331000993 is a deficient number, since it is larger than the sum of its proper divisors (34408964383647).

103133331000993 is a wasteful number, since it uses less digits than its factorization.

103133331000993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287696.

The product of its (nonzero) digits is 59049, while the sum is 39.

The spelling of 103133331000993 in words is "one hundred three trillion, one hundred thirty-three billion, three hundred thirty-one million, nine hundred ninety-three", and thus it is an aban number.