1323121133130 has 128 divisors (see below), whose sum is σ = 3465597788928. Its totient is φ = 321986445312.

The previous prime is 1323121133057. The next prime is 1323121133171. The reversal of 1323121133130 is 313311213231.

It is a super-3 number, since 3×1323121133130³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1323121133130.

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, 2784214 + ... + 3224606.

It is an arithmetic number, because the mean of its divisors is an integer number (27074982726).

Almost surely, 2^{1323121133130} is an apocalyptic number.

1323121133130 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 1323121133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732798894464).

1323121133130 is an abundant number, since it is smaller than the sum of its proper divisors (2142476655798).

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

1323121133130 is a wasteful number, since it uses less digits than its factorization.

1323121133130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440600.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 1323121133130 its reverse (313311213231), we get a palindrome (1636432346361).

The spelling of 1323121133130 in words is "one trillion, three hundred twenty-three billion, one hundred twenty-one million, one hundred thirty-three thousand, one hundred thirty".