10131123301319 has 8 divisors (see below), whose sum is σ = 10145815817280. Its totient is φ = 10116440290656.

The previous prime is 10131123301259. The next prime is 10131123301333. The reversal of 10131123301319 is 91310332113101.

10131123301319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10131123301319 is a prime.

It is a super-3 number, since 3×10131123301319³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10131123301291 and 10131123301300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131123301339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 241712 + ... + 4507845.

It is an arithmetic number, because the mean of its divisors is an integer number (1268226977160).

Almost surely, 2^{10131123301319} is an apocalyptic number.

10131123301319 is a deficient number, since it is larger than the sum of its proper divisors (14692515961).

10131123301319 is a wasteful number, since it uses less digits than its factorization.

10131123301319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4752649.

The product of its (nonzero) digits is 1458, while the sum is 29.

The spelling of 10131123301319 in words is "ten trillion, one hundred thirty-one billion, one hundred twenty-three million, three hundred one thousand, three hundred nineteen".