1013022020953 has 2 divisors, whose sum is σ = 1013022020954. Its totient is φ = 1013022020952.

The previous prime is 1013022020951. The next prime is 1013022020957. The reversal of 1013022020953 is 3590202203101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 665077763529 + 347944257424 = 815523^2 + 589868^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013022020953 - 2¹ = 1013022020951 is a prime.

It is a super-2 number, since 2×1013022020953² (a number of 25 digits) contains 22 as substring.

Together with 1013022020951, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1013022020951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506511010476 + 506511010477.

It is an arithmetic number, because the mean of its divisors is an integer number (506511010477).

Almost surely, 2^{1013022020953} is an apocalyptic number.

It is an amenable number.

1013022020953 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013022020953 is an equidigital number, since it uses as much as digits as its factorization.

1013022020953 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 28.

The spelling of 1013022020953 in words is "one trillion, thirteen billion, twenty-two million, twenty thousand, nine hundred fifty-three".