1012132320311 has 24 divisors (see below), whose sum is σ = 1228725780480. Its totient is φ = 829716729072.

The previous prime is 1012132320281. The next prime is 1012132320341. The reversal of 1012132320311 is 1130232312101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012132320281) and next prime (1012132320341).

It is not a de Polignac number, because 1012132320311 - 2¹⁰ = 1012132319287 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012132320341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9466610 + ... + 9572928.

It is an arithmetic number, because the mean of its divisors is an integer number (51196907520).

Almost surely, 2^{1012132320311} is an apocalyptic number.

1012132320311 is a deficient number, since it is larger than the sum of its proper divisors (216593460169).

1012132320311 is a wasteful number, since it uses less digits than its factorization.

1012132320311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114803 (or 114796 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 1012132320311 its reverse (1130232312101), we get a palindrome (2142364632412).

The spelling of 1012132320311 in words is "one trillion, twelve billion, one hundred thirty-two million, three hundred twenty thousand, three hundred eleven".