10011131101033 has 8 divisors (see below), whose sum is σ = 10356736771080. Its totient is φ = 9665551714560.

The previous prime is 10011131100979. The next prime is 10011131101061. The reversal of 10011131101033 is 33010113111001.

It can be written as a sum of positive squares in 4 ways, for example, as 3584459933289 + 6426671167744 = 1893267^2 + 2535088^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10011131101033 - 2³³ = 10002541166441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011131100998 and 10011131101016.

It is not an unprimeable number, because it can be changed into a prime (10011131101063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5794410 + ... + 7321027.

It is an arithmetic number, because the mean of its divisors is an integer number (1294592096385).

Almost surely, 2^{10011131101033} is an apocalyptic number.

It is an amenable number.

10011131101033 is a deficient number, since it is larger than the sum of its proper divisors (345605670047).

10011131101033 is a wasteful number, since it uses less digits than its factorization.

10011131101033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13141787.

The product of its (nonzero) digits is 27, while the sum is 16.

Adding to 10011131101033 its reverse (33010113111001), we get a palindrome (43021244212034).

The spelling of 10011131101033 in words is "ten trillion, eleven billion, one hundred thirty-one million, one hundred one thousand, thirty-three".