1313123121000 has 384 divisors, whose sum is σ = 4560897369600. Its totient is φ = 340567718400.

The previous prime is 1313123120987. The next prime is 1313123121017. The reversal of 1313123121000 is 1213213131.

1313123121000 is a `hidden beast` number, since 1 + 31 + 312 + 312 + 10 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92485902 + ... + 92500098.

It is an arithmetic number, because the mean of its divisors is an integer number (11877336900).

Almost surely, 2^{1313123121000} is an apocalyptic number.

1313123121000 is a gapful number since it is divisible by the number (10) 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 1313123121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280448684800).

1313123121000 is an abundant number, since it is smaller than the sum of its proper divisors (3247774248600).

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

1313123121000 is a wasteful number, since it uses less digits than its factorization.

1313123121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14506 (or 14489 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1313123121000 its reverse (1213213131), we get a palindrome (1314336334131).

The spelling of 1313123121000 in words is "one trillion, three hundred thirteen billion, one hundred twenty-three million, one hundred twenty-one thousand".