1101302213310 has 192 divisors, whose sum is σ = 3221572798080. Its totient is φ = 259149542400.

The previous prime is 1101302213299. The next prime is 1101302213311. The reversal of 1101302213310 is 133122031011.

1101302213310 is a `hidden beast` number, since 1 + 1 + 0 + 130 + 221 + 3 + 310 = 666.

It is a super-2 number, since 2×1101302213310² (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101302213311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3266247 + ... + 3587613.

It is an arithmetic number, because the mean of its divisors is an integer number (16779024990).

Almost surely, 2^{1101302213310} is an apocalyptic number.

1101302213310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101302213310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610786399040).

1101302213310 is an abundant number, since it is smaller than the sum of its proper divisors (2120270584770).

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

1101302213310 is a wasteful number, since it uses less digits than its factorization.

1101302213310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321523 (or 321520 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1101302213310 its reverse (133122031011), we get a palindrome (1234424244321).

The spelling of 1101302213310 in words is "one trillion, one hundred one billion, three hundred two million, two hundred thirteen thousand, three hundred ten".