3431100123 has 96 divisors (see below), whose sum is σ = 6128179200. Its totient is φ = 1822694400.

The previous prime is 3431100097. The next prime is 3431100149. The reversal of 3431100123 is 3210011343.

It is an interprime number because it is at equal distance from previous prime (3431100097) and next prime (3431100149).

It is not a de Polignac number, because 3431100123 - 2¹⁶ = 3431034587 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3431100096 and 3431100105.

It is not an unprimeable number, because it can be changed into a prime (3431100163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1949718 + ... + 1951476.

It is an arithmetic number, because the mean of its divisors is an integer number (63835200).

Almost surely, 2^3431100123 is an apocalyptic number.

3431100123 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3431100123 is a deficient number, since it is larger than the sum of its proper divisors (2697079077).

3431100123 is a wasteful number, since it uses less digits than its factorization.

3431100123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 3431100123 is about 58575.5932364325. The cubic root of 3431100123 is about 1508.2655000157.

Adding to 3431100123 its reverse (3210011343), we get a palindrome (6641111466).

The spelling of 3431100123 in words is "three billion, four hundred thirty-one million, one hundred thousand, one hundred twenty-three".