10313133629 has 2 divisors, whose sum is σ = 10313133630. Its totient is φ = 10313133628.

The previous prime is 10313133601. The next prime is 10313133643. The reversal of 10313133629 is 92633131301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9609292729 + 703840900 = 98027^2 + 26530^2 .

It is an emirp because it is prime and its reverse (92633131301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10313133629 - 2¹⁶ = 10313068093 is a prime.

It is a super-2 number, since 2×10313133629² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10313133595 and 10313133604.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10313133529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156566814 + 5156566815.

It is an arithmetic number, because the mean of its divisors is an integer number (5156566815).

Almost surely, 2^10313133629 is an apocalyptic number.

It is an amenable number.

10313133629 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313133629 is an equidigital number, since it uses as much as digits as its factorization.

10313133629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 32.

The spelling of 10313133629 in words is "ten billion, three hundred thirteen million, one hundred thirty-three thousand, six hundred twenty-nine".