1311234101034 has 128 divisors (see below), whose sum is σ = 3106978560000. Its totient is φ = 363687717120.

The previous prime is 1311234100997. The next prime is 1311234101041. The reversal of 1311234101034 is 4301014321131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1311234100995 and 1311234101013.

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 63 ways as a sum of consecutive naturals, for example, 76568797 + ... + 76585919.

It is an arithmetic number, because the mean of its divisors is an integer number (24273270000).

Almost surely, 2^{1311234101034} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1311234101034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553489280000).

1311234101034 is an abundant number, since it is smaller than the sum of its proper divisors (1795744458966).

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

1311234101034 is a wasteful number, since it uses less digits than its factorization.

1311234101034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17900.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1311234101034 its reverse (4301014321131), we get a palindrome (5612248422165).

The spelling of 1311234101034 in words is "one trillion, three hundred eleven billion, two hundred thirty-four million, one hundred one thousand, thirty-four".