31123023323100 has 288 divisors, whose sum is σ = 92324598055872. Its totient is φ = 8092431360000.

The previous prime is 31123023323069. The next prime is 31123023323101. The reversal of 31123023323100 is 132332032113.

It is a super-2 number, since 2×31123023323100² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31123023323101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1049984280 + ... + 1050013920.

Almost surely, 2^{31123023323100} is an apocalyptic number.

31123023323100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31123023323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46162299027936).

31123023323100 is an abundant number, since it is smaller than the sum of its proper divisors (61201574732772).

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

31123023323100 is a wasteful number, since it uses less digits than its factorization.

31123023323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30217 (or 30210 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 31123023323100 its reverse (132332032113), we get a palindrome (31255355355213).

The spelling of 31123023323100 in words is "thirty-one trillion, one hundred twenty-three billion, twenty-three million, three hundred twenty-three thousand, one hundred".