1311030121000 has 64 divisors (see below), whose sum is σ = 3071180136960. Its totient is φ = 523836040000.

The previous prime is 1311030120991. The next prime is 1311030121043. The reversal of 1311030121000 is 1210301131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191445 + ... + 1630555.

It is an arithmetic number, because the mean of its divisors is an integer number (47987189640).

Almost surely, 2^{1311030121000} is an apocalyptic number.

1311030121000 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 1311030121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535590068480).

1311030121000 is an abundant number, since it is smaller than the sum of its proper divisors (1760150015960).

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

1311030121000 is a wasteful number, since it uses less digits than its factorization.

1311030121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440043 (or 1440029 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1311030121000 its reverse (1210301131), we get a palindrome (1312240422131).

The spelling of 1311030121000 in words is "one trillion, three hundred eleven billion, thirty million, one hundred twenty-one thousand".