10133123319 has 24 divisors (see below), whose sum is σ = 15972038784. Its totient is φ = 6139482000.

The previous prime is 10133123269. The next prime is 10133123323. The reversal of 10133123319 is 91332133101.

10133123319 is a `hidden beast` number, since 1 + 0 + 13 + 312 + 331 + 9 = 666.

It is not a de Polignac number, because 10133123319 - 2²⁴ = 10116346103 is a prime.

It is a super-2 number, since 2×10133123319² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10133123292 and 10133123301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133123369) 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, 374104 + ... + 400274.

It is an arithmetic number, because the mean of its divisors is an integer number (665501616).

Almost surely, 2^10133123319 is an apocalyptic number.

10133123319 is a deficient number, since it is larger than the sum of its proper divisors (5838915465).

10133123319 is a wasteful number, since it uses less digits than its factorization.

10133123319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30099 (or 30096 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The spelling of 10133123319 in words is "ten billion, one hundred thirty-three million, one hundred twenty-three thousand, three hundred nineteen".