101303201131 has 16 divisors (see below), whose sum is σ = 112529047680. Its totient is φ = 90417415680.

The previous prime is 101303201119. The next prime is 101303201137. The reversal of 101303201131 is 131102303101.

It is a cyclic number.

It is not a de Polignac number, because 101303201131 - 2¹¹ = 101303199083 is a prime.

It is a super-3 number, since 3×101303201131³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101303201137) 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 15 ways as a sum of consecutive naturals, for example, 411595 + ... + 609931.

It is an arithmetic number, because the mean of its divisors is an integer number (7033065480).

Almost surely, 2^101303201131 is an apocalyptic number.

101303201131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101303201131 is a deficient number, since it is larger than the sum of its proper divisors (11225846549).

101303201131 is a wasteful number, since it uses less digits than its factorization.

101303201131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199194.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101303201131 its reverse (131102303101), we get a palindrome (232405504232).

The spelling of 101303201131 in words is "one hundred one billion, three hundred three million, two hundred one thousand, one hundred thirty-one".