1020201020131 has 2 divisors, whose sum is σ = 1020201020132. Its totient is φ = 1020201020130.

The previous prime is 1020201020129. The next prime is 1020201020143. The reversal of 1020201020131 is 1310201020201.

1020201020131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is an emirp because it is prime and its reverse (1310201020201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020201020131 - 2¹ = 1020201020129 is a prime.

It is a super-2 number, since 2×1020201020131² (a number of 25 digits) contains 22 as substring.

Together with 1020201020129, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1020201020171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510100510065 + 510100510066.

It is an arithmetic number, because the mean of its divisors is an integer number (510100510066).

Almost surely, 2^{1020201020131} is an apocalyptic number.

1020201020131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020201020131 is an equidigital number, since it uses as much as digits as its factorization.

1020201020131 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1020201020131 its reverse (1310201020201), we get a palindrome (2330402040332).

The spelling of 1020201020131 in words is "one trillion, twenty billion, two hundred one million, twenty thousand, one hundred thirty-one".