1153105100311 has 8 divisors (see below), whose sum is σ = 1220956008624. Its totient is φ = 1085256547200.

The previous prime is 1153105100309. The next prime is 1153105100317. The reversal of 1153105100311 is 1130015013511.

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 1153105100311 - 2¹ = 1153105100309 is a prime.

It is a super-3 number, since 3×1153105100311³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1153105100317) 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 in 7 ways as a sum of consecutive naturals, for example, 474036 + ... + 1590886.

It is an arithmetic number, because the mean of its divisors is an integer number (152619501078).

Almost surely, 2^{1153105100311} is an apocalyptic number.

1153105100311 is a deficient number, since it is larger than the sum of its proper divisors (67850908313).

1153105100311 is a wasteful number, since it uses less digits than its factorization.

1153105100311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177601.

The product of its (nonzero) digits is 225, while the sum is 22.

The spelling of 1153105100311 in words is "one trillion, one hundred fifty-three billion, one hundred five million, one hundred thousand, three hundred eleven".