30002301131101 has 16 divisors (see below), whose sum is σ = 34054961718960. Its totient is φ = 26234933437440.

The previous prime is 30002301131071. The next prime is 30002301131129. The reversal of 30002301131101 is 10113110320003.

It can be written as a sum of positive squares in 8 ways, for example, as 249749063001 + 29752552068100 = 499749^2 + 5454590^2 .

It is not a de Polignac number, because 30002301131101 - 2¹³ = 30002301122909 is a prime.

It is a super-2 number, since 2×30002301131101² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30002301131801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750750780 + ... + 750790741.

It is an arithmetic number, because the mean of its divisors is an integer number (2128435107435).

Almost surely, 2^{30002301131101} is an apocalyptic number.

It is an amenable number.

30002301131101 is a deficient number, since it is larger than the sum of its proper divisors (4052660587859).

30002301131101 is a wasteful number, since it uses less digits than its factorization.

30002301131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501541616.

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

Adding to 30002301131101 its reverse (10113110320003), we get a palindrome (40115411451104).

It can be divided in two parts, 30002 and 301131101, that added together give a palindrome (301161103).

The spelling of 30002301131101 in words is "thirty trillion, two billion, three hundred one million, one hundred thirty-one thousand, one hundred one".