1101001311312 has 160 divisors (see below), whose sum is σ = 3297478257408. Its totient is φ = 310039031808.

The previous prime is 1101001311301. The next prime is 1101001311329. The reversal of 1101001311312 is 2131131001011.

It is a super-2 number, since 2×1101001311312² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101001311291 and 1101001311300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35623738 + ... + 35654630.

Almost surely, 2^{1101001311312} is an apocalyptic number.

1101001311312 is a gapful number since it is divisible by the number (12) 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 1101001311312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648739128704).

1101001311312 is an abundant number, since it is smaller than the sum of its proper divisors (2196476946096).

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

1101001311312 is a wasteful number, since it uses less digits than its factorization.

1101001311312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32437 (or 32431 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 1101001311312 its reverse (2131131001011), we get a palindrome (3232132312323).

The spelling of 1101001311312 in words is "one trillion, one hundred one billion, one million, three hundred eleven thousand, three hundred twelve".