101312134341000 has 256 divisors, whose sum is σ = 354149389451520. Its totient is φ = 23896719360000.

The previous prime is 101312134340993. The next prime is 101312134341007. The reversal of 101312134341000 is 143431213101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101312134340993) and next prime (101312134341007).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101312134341007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40266361 + ... + 42708360.

It is an arithmetic number, because the mean of its divisors is an integer number (1383396052545).

Almost surely, 2^{101312134341000} is an apocalyptic number.

101312134341000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101312134341000 is an abundant number, since it is smaller than the sum of its proper divisors (252837255110520).

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

101312134341000 is a wasteful number, since it uses less digits than its factorization.

101312134341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82974793 (or 82974779 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101312134341000 its reverse (143431213101), we get a palindrome (101455565554101).

The spelling of 101312134341000 in words is "one hundred one trillion, three hundred twelve billion, one hundred thirty-four million, three hundred forty-one thousand".