1311022012032 has 128 divisors (see below), whose sum is σ = 4072985256000. Its totient is φ = 414006930432.

The previous prime is 1311022012021. The next prime is 1311022012033. The reversal of 1311022012032 is 2302102201131.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 1311022011996 and 1311022012014.

It is not an unprimeable number, because it can be changed into a prime (1311022012033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9917143 + ... + 10048470.

Almost surely, 2^{1311022012032} is an apocalyptic number.

1311022012032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1311022012032 is an abundant number, since it is smaller than the sum of its proper divisors (2761963243968).

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

1311022012032 is a wasteful number, since it uses less digits than its factorization.

1311022012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19965655 (or 19965637 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1311022012032 its reverse (2302102201131), we get a palindrome (3613124213163).

The spelling of 1311022012032 in words is "one trillion, three hundred eleven billion, twenty-two million, twelve thousand, thirty-two".