10121319 has 48 divisors (see below), whose sum is σ = 17253600. Its totient is φ = 5660928.

The previous prime is 10121317. The next prime is 10121323. The reversal of 10121319 is 91312101.

10121319 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 10121319 - 2¹ = 10121317 is a prime.

It is a super-2 number, since 2×10121319² = 204882196599522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64389 + ... + 64545.

It is an arithmetic number, because the mean of its divisors is an integer number (359450).

Almost surely, 2^10121319 is an apocalyptic number.

10121319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

10121319 is a deficient number, since it is larger than the sum of its proper divisors (7132281).

10121319 is a wasteful number, since it uses less digits than its factorization.

10121319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 10121319 is about 3181.4020494115. The cubic root of 10121319 is about 216.3112154762.

It can be divided in two parts, 10121 and 319, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 10121319 in words is "ten million, one hundred twenty-one thousand, three hundred nineteen".