1101010313200 has 120 divisors (see below), whose sum is σ = 3023777243648. Its totient is φ = 377399658240.

The previous prime is 1101010313111. The next prime is 1101010313203. The reversal of 1101010313200 is 23130101011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101010313203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12339949 + ... + 12428851.

Almost surely, 2^{1101010313200} is an apocalyptic number.

1101010313200 is a gapful number since it is divisible by the number (10) 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 1101010313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511888621824).

1101010313200 is an abundant number, since it is smaller than the sum of its proper divisors (1922766930448).

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

1101010313200 is a wasteful number, since it uses less digits than its factorization.

1101010313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93351 (or 93340 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1101010313200 its reverse (23130101011), we get a palindrome (1124140414211).

The spelling of 1101010313200 in words is "one trillion, one hundred one billion, ten million, three hundred thirteen thousand, two hundred".