102133313310 has 128 divisors (see below), whose sum is σ = 299145830400. Its totient is φ = 21812636160.

The previous prime is 102133313287. The next prime is 102133313357. The reversal of 102133313310 is 13313331201.

It is a super-2 number, since 2×102133313310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 81705 + ... + 459284.

It is an arithmetic number, because the mean of its divisors is an integer number (2337076800).

Almost surely, 2^102133313310 is an apocalyptic number.

102133313310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102133313310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149572915200).

102133313310 is an abundant number, since it is smaller than the sum of its proper divisors (197012517090).

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

102133313310 is a wasteful number, since it uses less digits than its factorization.

102133313310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541066.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 102133313310 its reverse (13313331201), we get a palindrome (115446644511).

The spelling of 102133313310 in words is "one hundred two billion, one hundred thirty-three million, three hundred thirteen thousand, three hundred ten".