1001131201312 has 96 divisors (see below), whose sum is σ = 2203860343104. Its totient is φ = 443828352000.

The previous prime is 1001131201307. The next prime is 1001131201313. The reversal of 1001131201312 is 2131021311001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1001131201313) 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, 2171838 + ... + 2592130.

It is an arithmetic number, because the mean of its divisors is an integer number (22956878574).

Almost surely, 2^{1001131201312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001131201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101930171552).

1001131201312 is an abundant number, since it is smaller than the sum of its proper divisors (1202729141792).

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

1001131201312 is a wasteful number, since it uses less digits than its factorization.

1001131201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420482 (or 420474 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1001131201312 its reverse (2131021311001), we get a palindrome (3132152512313).

The spelling of 1001131201312 in words is "one trillion, one billion, one hundred thirty-one million, two hundred one thousand, three hundred twelve".