10103014133001 has 24 divisors (see below), whose sum is σ = 14738015265480. Its totient is φ = 6668527200000.

The previous prime is 10103014132997. The next prime is 10103014133027. The reversal of 10103014133001 is 10033141030101.

10103014133001 is a `hidden beast` number, since 10 + 10 + 301 + 41 + 3 + 300 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3631688678601 + 6471325454400 = 1905699^2 + 2543880^2 .

It is not a de Polignac number, because 10103014133001 - 2² = 10103014132997 is a prime.

It is a super-3 number, since 3×10103014133001³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10103014133101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78565165 + ... + 78693653.

It is an arithmetic number, because the mean of its divisors is an integer number (614083969395).

Almost surely, 2^{10103014133001} is an apocalyptic number.

It is an amenable number.

10103014133001 is a deficient number, since it is larger than the sum of its proper divisors (4635001132479).

10103014133001 is a wasteful number, since it uses less digits than its factorization.

10103014133001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215097 (or 215094 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10103014133001 its reverse (10033141030101), we get a palindrome (20136155163102).

The spelling of 10103014133001 in words is "ten trillion, one hundred three billion, fourteen million, one hundred thirty-three thousand, one".