1007136136233 has 16 divisors (see below), whose sum is σ = 1492129823040. Its totient is φ = 671389761312.

The previous prime is 1007136136189. The next prime is 1007136136247. The reversal of 1007136136233 is 3326316317001.

1007136136233 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 1 + 3 + 613 + 6 + 2 + 33 = 666.

It is not a de Polignac number, because 1007136136233 - 2¹³ = 1007136128041 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007136136133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410116 + ... + 1477317.

It is an arithmetic number, because the mean of its divisors is an integer number (93258113940).

Almost surely, 2^{1007136136233} is an apocalyptic number.

It is an amenable number.

1007136136233 is a deficient number, since it is larger than the sum of its proper divisors (484993686807).

1007136136233 is a wasteful number, since it uses less digits than its factorization.

1007136136233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907205 (or 1907199 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 1007136136233 in words is "one trillion, seven billion, one hundred thirty-six million, one hundred thirty-six thousand, two hundred thirty-three".