1020111311381 has 2 divisors, whose sum is σ = 1020111311382. Its totient is φ = 1020111311380.

The previous prime is 1020111311339. The next prime is 1020111311431. The reversal of 1020111311381 is 1831131110201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1011148902481 + 8962408900 = 1005559^2 + 94670^2 .

It is an emirp because it is prime and its reverse (1831131110201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1020111311381 - 2³⁸ = 745233404437 is a prime.

It is a super-2 number, since 2×1020111311381² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020111311321) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510055655690 + 510055655691.

It is an arithmetic number, because the mean of its divisors is an integer number (510055655691).

Almost surely, 2^{1020111311381} is an apocalyptic number.

It is an amenable number.

1020111311381 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020111311381 is an equidigital number, since it uses as much as digits as its factorization.

1020111311381 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 23.

Adding to 1020111311381 its reverse (1831131110201), we get a palindrome (2851242421582).

The spelling of 1020111311381 in words is "one trillion, twenty billion, one hundred eleven million, three hundred eleven thousand, three hundred eighty-one".