101201131300 has 18 divisors (see below), whose sum is σ = 219606455138. Its totient is φ = 40480452480.

The previous prime is 101201131267. The next prime is 101201131333. The reversal of 101201131300 is 3131102101.

It is an interprime number because it is at equal distance from previous prime (101201131267) and next prime (101201131333).

It can be written as a sum of positive squares in 3 ways, for example, as 3187054116 + 98014077184 = 56454^2 + 313072^2 .

It is a super-3 number, since 3×101201131300³ (a number of 34 digits) contains 333 as substring.

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 5 ways as a sum of consecutive naturals, for example, 506005557 + ... + 506005756.

Almost surely, 2^101201131300 is an apocalyptic number.

101201131300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201131300 is an abundant number, since it is smaller than the sum of its proper divisors (118405323838).

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

101201131300 is a wasteful number, since it uses less digits than its factorization.

101201131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012011327 (or 1012011320 counting only the distinct ones).

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

Adding to 101201131300 its reverse (3131102101), we get a palindrome (104332233401).

The spelling of 101201131300 in words is "one hundred one billion, two hundred one million, one hundred thirty-one thousand, three hundred".