263134513222100 has 144 divisors (see below), whose sum is σ = 628092338350848. Its totient is φ = 95077506101760.

The previous prime is 263134513222069. The next prime is 263134513222103. The reversal of 263134513222100 is 1222315431362.

263134513222100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263134513222103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464260082 + ... + 464826518.

Almost surely, 2^{263134513222100} is an apocalyptic number.

263134513222100 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 263134513222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314046169175424).

263134513222100 is an abundant number, since it is smaller than the sum of its proper divisors (364957825128748).

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

263134513222100 is a wasteful number, since it uses less digits than its factorization.

263134513222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574114 (or 574107 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 263134513222100 its reverse (1222315431362), we get a palindrome (264356828653462).

The spelling of 263134513222100 in words is "two hundred sixty-three trillion, one hundred thirty-four billion, five hundred thirteen million, two hundred twenty-two thousand, one hundred".