234013220101320 has 256 divisors, whose sum is σ = 791107026151680. Its totient is φ = 54878160384000.

The previous prime is 234013220101301. The next prime is 234013220101343. The reversal of 234013220101320 is 23101022310432.

It is a super-2 number, since 2×234013220101320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5398731 + ... + 22297370.

It is an arithmetic number, because the mean of its divisors is an integer number (3090261820905).

Almost surely, 2^{234013220101320} is an apocalyptic number.

234013220101320 is a gapful number since it is divisible by the number (20) 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 234013220101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395553513075840).

234013220101320 is an abundant number, since it is smaller than the sum of its proper divisors (557093806050360).

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

234013220101320 is a wasteful number, since it uses less digits than its factorization.

234013220101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27696336 (or 27696332 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 234013220101320 its reverse (23101022310432), we get a palindrome (257114242411752).

The spelling of 234013220101320 in words is "two hundred thirty-four trillion, thirteen billion, two hundred twenty million, one hundred one thousand, three hundred twenty".