312101101134 has 240 divisors, whose sum is σ = 763123005216. Its totient is φ = 95283993600.

The previous prime is 312101101129. The next prime is 312101101141. The reversal of 312101101134 is 431101101213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 294156964 + ... + 294158024.

Almost surely, 2^312101101134 is an apocalyptic number.

312101101134 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312101101134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381561502608).

312101101134 is an abundant number, since it is smaller than the sum of its proper divisors (451021904082).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312101101134 is a wasteful number, since it uses less digits than its factorization.

312101101134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 312101101134 its reverse (431101101213), we get a palindrome (743202202347).

The spelling of 312101101134 in words is "three hundred twelve billion, one hundred one million, one hundred one thousand, one hundred thirty-four".