31000201101 has 12 divisors (see below), whose sum is σ = 45988286812. Its totient is φ = 20108238336.

The previous prime is 31000201093. The next prime is 31000201151. The reversal of 31000201101 is 10110200013.

It can be written as a sum of positive squares in 2 ways, for example, as 10552631076 + 20447570025 = 102726^2 + 142995^2 .

It is not a de Polignac number, because 31000201101 - 2³ = 31000201093 is a prime.

It is a super-3 number, since 3×31000201101³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31000201151) 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 11 ways as a sum of consecutive naturals, for example, 46546516 + ... + 46547181.

Almost surely, 2^31000201101 is an apocalyptic number.

It is an amenable number.

31000201101 is a deficient number, since it is larger than the sum of its proper divisors (14988085711).

31000201101 is a wasteful number, since it uses less digits than its factorization.

31000201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93093740 (or 93093737 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 31000201101 its reverse (10110200013), we get a palindrome (41110401114).

It can be divided in two parts, 3100020 and 1101, that added together give a square (3101121 = 1761²).

The spelling of 31000201101 in words is "thirty-one billion, two hundred one thousand, one hundred one".