2102133319 has 16 divisors (see below), whose sum is σ = 2471089824. Its totient is φ = 1762992000.

The previous prime is 2102133311. The next prime is 2102133347. The reversal of 2102133319 is 9133312012.

It is not a de Polignac number, because 2102133319 - 2³ = 2102133311 is a prime.

It is a super-2 number, since 2×2102133319² = 8837928981699911522, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2102133293 and 2102133302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102133311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330469 + ... + 336769.

It is an arithmetic number, because the mean of its divisors is an integer number (154443114).

Almost surely, 2^2102133319 is an apocalyptic number.

2102133319 is a deficient number, since it is larger than the sum of its proper divisors (368956505).

2102133319 is a wasteful number, since it uses less digits than its factorization.

2102133319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8658.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 2102133319 is about 45849.0274596965. The cubic root of 2102133319 is about 1281.0126505921.

The spelling of 2102133319 in words is "two billion, one hundred two million, one hundred thirty-three thousand, three hundred nineteen".