1101101013312 has 28 divisors (see below), whose sum is σ = 2913329764896. Its totient is φ = 367033671040.

The previous prime is 1101101013307. The next prime is 1101101013317. The reversal of 1101101013312 is 2133101011011.

It is an interprime number because it is at equal distance from previous prime (1101101013307) and next prime (1101101013317).

It is a junction number, because it is equal to n+sod(n) for n = 1101101013291 and 1101101013300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101101013317) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2867450364 + ... + 2867450747.

Almost surely, 2^{1101101013312} is an apocalyptic number.

1101101013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1101101013312 is an abundant number, since it is smaller than the sum of its proper divisors (1812228751584).

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

1101101013312 is an equidigital number, since it uses as much as digits as its factorization.

1101101013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5734901126 (or 5734901116 counting only the distinct ones).

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

Adding to 1101101013312 its reverse (2133101011011), we get a palindrome (3234202024323).

The spelling of 1101101013312 in words is "one trillion, one hundred one billion, one hundred one million, thirteen thousand, three hundred twelve".