10403013413133 has 64 divisors (see below), whose sum is σ = 17356630179840. Its totient is φ = 6101007998400.

The previous prime is 10403013413131. The next prime is 10403013413153. The reversal of 10403013413133 is 33131431030401.

10403013413133 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 3 + 0 + 1 + 341 + 313 + 3 = 666.

10403013413133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10403013413133 - 2¹ = 10403013413131 is a prime.

It is a super-2 number, since 2×10403013413133² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10403013413097 and 10403013413106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10403013413131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148077891 + ... + 148148127.

It is an arithmetic number, because the mean of its divisors is an integer number (271197346560).

Almost surely, 2^{10403013413133} is an apocalyptic number.

It is an amenable number.

10403013413133 is a deficient number, since it is larger than the sum of its proper divisors (6953616766707).

10403013413133 is a wasteful number, since it uses less digits than its factorization.

10403013413133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86375 (or 86369 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 10403013413133 its reverse (33131431030401), we get a palindrome (43534444443534).

The spelling of 10403013413133 in words is "ten trillion, four hundred three billion, thirteen million, four hundred thirteen thousand, one hundred thirty-three".