110131102201013 has 2 divisors, whose sum is σ = 110131102201014. Its totient is φ = 110131102201012.

The previous prime is 110131102200989. The next prime is 110131102201037. The reversal of 110131102201013 is 310102201131011.

It is a balanced prime because it is at equal distance from previous prime (110131102200989) and next prime (110131102201037).

It can be written as a sum of positive squares in only one way, i.e., 65909360297764 + 44221741903249 = 8118458^2 + 6649943^2 .

It is a cyclic number.

It is not a de Polignac number, because 110131102201013 - 2¹² = 110131102196917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110131102200982 and 110131102201000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110131152201013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55065551100506 + 55065551100507.

It is an arithmetic number, because the mean of its divisors is an integer number (55065551100507).

Almost surely, 2^{110131102201013} is an apocalyptic number.

It is an amenable number.

110131102201013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110131102201013 is an equidigital number, since it uses as much as digits as its factorization.

110131102201013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 110131102201013 its reverse (310102201131011), we get a palindrome (420233303332024).

The spelling of 110131102201013 in words is "one hundred ten trillion, one hundred thirty-one billion, one hundred two million, two hundred one thousand, thirteen".