123131034 has 72 divisors (see below), whose sum is σ = 306006012. Its totient is φ = 35642880.

The previous prime is 123131033. The next prime is 123131083. The reversal of 123131034 is 430131321.

It can be written as a sum of positive squares in 6 ways, for example, as 3294225 + 119836809 = 1815^2 + 10947^2 .

It is a super-2 number, since 2×123131034² = 30322503067818312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 123130998 and 123131016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123131033) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50524 + ... + 52904.

Almost surely, 2^123131034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123131034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153003006).

123131034 is an abundant number, since it is smaller than the sum of its proper divisors (182874978).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123131034 is a wasteful number, since it uses less digits than its factorization.

123131034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2416 counting only the distinct ones).

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

The square root of 123131034 is about 11096.4424028605. The cubic root of 123131034 is about 497.4955214532.

Adding to 123131034 its reverse (430131321), we get a palindrome (553262355).

The spelling of 123131034 in words is "one hundred twenty-three million, one hundred thirty-one thousand, thirty-four".