101320001300 has 288 divisors, whose sum is σ = 262465201152. Its totient is φ = 33234001920.

The previous prime is 101320001287. The next prime is 101320001311. The reversal of 101320001300 is 3100023101.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 524974004 + ... + 524974196.

It is an arithmetic number, because the mean of its divisors is an integer number (911337504).

Almost surely, 2^101320001300 is an apocalyptic number.

101320001300 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 101320001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131232600576).

101320001300 is an abundant number, since it is smaller than the sum of its proper divisors (161145199852).

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

101320001300 is a wasteful number, since it uses less digits than its factorization.

101320001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 101320001300 its reverse (3100023101), we get a palindrome (104420024401).

The spelling of 101320001300 in words is "one hundred one billion, three hundred twenty million, one thousand, three hundred".