1011355413133 has 6 divisors (see below), whose sum is σ = 1095136335114. Its totient is φ = 933558842736.

The previous prime is 1011355413083. The next prime is 1011355413163. The reversal of 1011355413133 is 3313145531101.

It can be written as a sum of positive squares in 3 ways, for example, as 35691522084 + 975663891049 = 188922^2 + 987757^2 .

It is not a de Polignac number, because 1011355413133 - 2¹⁷ = 1011355282061 is a prime.

It is a super-2 number, since 2×1011355413133² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011355413095 and 1011355413104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011355413163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2992175610 + ... + 2992175947.

It is an arithmetic number, because the mean of its divisors is an integer number (182522722519).

Almost surely, 2^{1011355413133} is an apocalyptic number.

1011355413133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1011355413133 is a deficient number, since it is larger than the sum of its proper divisors (83780921981).

1011355413133 is an equidigital number, since it uses as much as digits as its factorization.

1011355413133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5984351583 (or 5984351570 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The spelling of 1011355413133 in words is "one trillion, eleven billion, three hundred fifty-five million, four hundred thirteen thousand, one hundred thirty-three".